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157164592 = 2413317263
BaseRepresentation
bin10010101111000…
…10010000110000
3101221201210021211
421113202100300
5310213231332
623332325504
73615606544
oct1127422060
9357653254
10157164592
11807960a2
1244773894
132673a000
1416c31a24
15dbe7447
hex95e2430

157164592 has 80 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 68011008.

The previous prime is 157164571. The next prime is 157164611. The reversal of 157164592 is 295461751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597453 + ... + 597715.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2157164592 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 157164592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

157164592 is an abundant number, since it is smaller than the sum of its proper divisors (193437968).

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

157164592 is a wasteful number, since it uses less digits than its factorization.

157164592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 295 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 157164592 is about 12536.5303014829. The cubic root of 157164592 is about 539.6575240406.

The spelling of 157164592 in words is "one hundred fifty-seven million, one hundred sixty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 263 272 338 442 526 676 884 1052 1352 1768 2104 2197 2704 2873 3419 3536 4208 4394 4471 5746 6838 8788 8942 11492 13676 17576 17884 22984 27352 35152 35768 37349 44447 45968 54704 58123 71536 74698 88894 116246 149396 177788 232492 298792 355576 464984 577811 597584 711152 755599 929968 1155622 1511198 2311244 3022396 4622488 6044792 9244976 9822787 12089584 19645574 39291148 78582296 157164592