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157652664 = 23313247827
BaseRepresentation
bin10010110010110…
…01011010111000
3101222122120210120
421121121122320
5310324341124
623351013240
73623011521
oct1131313270
9358576716
10157652664
1180a99864
124496a220
132687b200
1416d1b848
15dc91d79
hex96596b8

157652664 has 96 divisors (see below), whose sum is σ = 436389120. Its totient is φ = 47419008.

The previous prime is 157652657. The next prime is 157652681. The reversal of 157652664 is 466256751.

157652664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190219 + ... + 191045.

It is an arithmetic number, because the mean of its divisors is an integer number (4545720).

Almost surely, 2157652664 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 157652664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218194560).

157652664 is an abundant number, since it is smaller than the sum of its proper divisors (278736456).

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

157652664 is a wasteful number, since it uses less digits than its factorization.

157652664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 892 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 157652664 is about 12555.9812041911. The cubic root of 157652664 is about 540.2155792198.

The spelling of 157652664 in words is "one hundred fifty-seven million, six hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 169 188 282 312 338 376 507 564 611 676 827 1014 1128 1222 1352 1654 1833 2028 2444 2481 3308 3666 4056 4888 4962 6616 7332 7943 9924 10751 14664 15886 19848 21502 23829 31772 32253 38869 43004 47658 63544 64506 77738 86008 95316 116607 129012 139763 155476 190632 233214 258024 279526 310952 419289 466428 505297 559052 838578 932856 1010594 1118104 1515891 1677156 2021188 3031782 3354312 4042376 6063564 6568861 12127128 13137722 19706583 26275444 39413166 52550888 78826332 157652664