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4369871025 = 34521321132
BaseRepresentation
bin1000001000111011…
…01111000010110001
3102021112200110010000
410010131233002301
532422141333100
62001341300213
7213201201522
oct40435570261
912245613100
104369871025
111942750863
12a1b564669
13548444400
142d6514849
151a8986900
hex10476f0b1

4369871025 has 135 divisors (see below), whose sum is σ = 8843316339. Its totient is φ = 2132282880.

The previous prime is 4369870951. The next prime is 4369871027. The reversal of 4369871025 is 5201789634.

The square root of 4369871025 is 66105.

It is a perfect power (a square), and thus also a powerful number.

4369871025 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 3709175409 + 660695616 = 60903^2 + 25704^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 4369871025 - 29 = 4369870513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

4369871025 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (4369871027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 38671369 + ... + 38671481.

It is a 1-persistent number, because it is pandigital, but 2⋅4369871025 = 8739742050 is not.

Almost surely, 24369871025 is an apocalyptic number.

4369871025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4369871025 is the 66105-th square number.

4369871025 is the 33053-rd centered octagonal number.

It is an amenable number.

4369871025 is an abundant number, since it is smaller than the sum of its proper divisors (4473445314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4369871025 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 4369871025 = (1942750863)11.

4369871025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 4369871025 is about 1634.8937730834.

The spelling of 4369871025 in words is "four billion, three hundred sixty-nine million, eight hundred seventy-one thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 113 117 135 169 195 225 325 339 351 405 507 565 585 675 845 975 1017 1053 1469 1521 1695 1755 2025 2535 2825 2925 3051 4225 4407 4563 5085 5265 7345 7605 8475 8775 9153 12675 12769 13221 13689 15255 19097 22035 22815 25425 26325 36725 38025 38307 39663 45765 57291 63845 66105 68445 76275 95485 110175 114075 114921 118989 165997 171873 191535 198315 228825 286455 319225 330525 342225 344763 477425 497991 515619 574605 594945 829985 859365 957675 991575 1034289 1432275 1493973 1546857 1723815 2157961 2489955 2578095 2873025 2974725 4149925 4296825 4481919 5171445 6473883 7469865 7734285 8619075 10789805 12449775 12890475 13445757 19421649 22409595 25857225 32369415 37349325 38671425 53949025 58264947 67228785 97108245 112047975 161847075 174794841 291324735 336143925 485541225 873974205 1456623675 4369871025