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5423729400 = 23325210192957
BaseRepresentation
bin1010000110100011…
…11000101011111000
3111222222201000000200
411003101320223320
542101433320100
62254105202200
7251255640105
oct50321705370
914888630020
105423729400
1123336101a1
121074490360
1368588ac4b
14396481aac
1521b255e00
hex143478af8

5423729400 has 144 divisors (see below), whose sum is σ = 18238732200. Its totient is φ = 1444419840.

The previous prime is 5423729327. The next prime is 5423729411. The reversal of 5423729400 is 49273245.

5423729400 is a `hidden beast` number, since 542 + 3 + 72 + 9 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1832722 + ... + 1835678.

Almost surely, 25423729400 is an apocalyptic number.

5423729400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5423729400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119366100).

5423729400 is an abundant number, since it is smaller than the sum of its proper divisors (12815002800).

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

5423729400 is a wasteful number, since it uses less digits than its factorization.

5423729400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5423729400 is about 73645.9734133510. The cubic root of 5423729400 is about 1756.9767095956.

The spelling of 5423729400 in words is "five billion, four hundred twenty-three million, seven hundred twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1019 1800 2038 2957 3057 4076 5095 5914 6114 8152 8871 9171 10190 11828 12228 14785 15285 17742 18342 20380 23656 24456 25475 26613 29570 30570 35484 36684 40760 44355 45855 50950 53226 59140 61140 70968 73368 73925 76425 88710 91710 101900 106452 118280 122280 133065 147850 152850 177420 183420 203800 212904 221775 229275 266130 295700 305700 354840 366840 443550 458550 532260 591400 611400 665325 887100 917100 1064520 1330650 1774200 1834200 2661300 3013183 5322600 6026366 9039549 12052732 15065915 18079098 24105464 27118647 30131830 36158196 45197745 54237294 60263660 72316392 75329575 90395490 108474588 120527320 135593235 150659150 180790980 216949176 225988725 271186470 301318300 361581960 451977450 542372940 602636600 677966175 903954900 1084745880 1355932350 1807909800 2711864700 5423729400