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5262200046 = 23329113131227
BaseRepresentation
bin1001110011010011…
…01100110011101110
3111120201202110102000
410321221230303232
541234110400141
62230055113130
7244254651045
oct47151546356
914521673360
105262200046
112260413864
12102a3727a6
1365b28334c
1437cc3555c
1520be9a5b6
hex139a6ccee

5262200046 has 128 divisors (see below), whose sum is σ = 12351398400. Its totient is φ = 1658442240.

The previous prime is 5262200039. The next prime is 5262200087. The reversal of 5262200046 is 6400022625.

It is a super-3 number, since 3×52622000463 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5262199992 and 5262200019.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23181385 + ... + 23181611.

It is an arithmetic number, because the mean of its divisors is an integer number (96495300).

Almost surely, 25262200046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5262200046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175699200).

5262200046 is an abundant number, since it is smaller than the sum of its proper divisors (7089198354).

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

5262200046 is a wasteful number, since it uses less digits than its factorization.

5262200046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5262200046 is about 72541.0231937764. The cubic root of 5262200046 is about 1739.3585566672.

The spelling of 5262200046 in words is "five billion, two hundred sixty-two million, two hundred thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 113 131 174 226 227 261 262 339 393 454 522 678 681 783 786 1017 1179 1362 1566 2034 2043 2358 3051 3277 3537 3799 4086 6102 6129 6554 6583 7074 7598 9831 11397 12258 13166 14803 19662 19749 22794 25651 29493 29606 29737 34191 39498 44409 51302 58986 59247 59474 68382 76953 88479 88818 89211 102573 118494 133227 153906 176958 177741 178422 205146 230859 266454 267633 355482 399681 429287 461718 535266 692577 743879 799362 802899 858574 862373 1287861 1385154 1487758 1605798 1724746 2231637 2575722 2587119 3360281 3863583 4463274 5174238 6694911 6720562 7727166 7761357 10080843 11590749 13389822 15522714 20084733 20161686 23181498 23284071 30242529 40169466 46568142 60485058 90727587 97448149 181455174 194896298 292344447 584688894 877033341 1754066682 2631100023 5262200046