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52257271520 = 2552921535231
BaseRepresentation
bin110000101010110001…
…101010111011100000
311222212220021110000202
4300222301222323200
51324010330142040
640001234404332
73526661323166
oct605261527340
9158786243022
1052257271520
112018695a603
12a164a306a8
134c0a60444c
14275a439236
15155cb26015
hexc2ac6aee0

52257271520 has 96 divisors (see below), whose sum is σ = 127798715520. Its totient is φ = 20168888320.

The previous prime is 52257271501. The next prime is 52257271537. The reversal of 52257271520 is 2517275225.

It is a happy number.

It is a super-2 number, since 2×522572715202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9987305 + ... + 9992535.

It is an arithmetic number, because the mean of its divisors is an integer number (1331236620).

Almost surely, 252257271520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52257271520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63899357760).

52257271520 is an abundant number, since it is smaller than the sum of its proper divisors (75541444000).

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

52257271520 is a wasteful number, since it uses less digits than its factorization.

52257271520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 38.

The spelling of 52257271520 in words is "fifty-two billion, two hundred fifty-seven million, two hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2153 2320 4306 4640 5231 8612 10462 10765 17224 20924 21530 26155 34448 41848 43060 52310 62437 68896 83696 86120 104620 124874 151699 167392 172240 209240 249748 303398 312185 344480 418480 499496 606796 624370 758495 836960 998992 1213592 1248740 1516990 1997984 2427184 2497480 3033980 4854368 4994960 6067960 9989920 11262343 12135920 22524686 24271840 45049372 56311715 90098744 112623430 180197488 225246860 326607947 360394976 450493720 653215894 900987440 1306431788 1633039735 1801974880 2612863576 3266079470 5225727152 6532158940 10451454304 13064317880 26128635760 52257271520