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157033296 = 2433751929
BaseRepresentation
bin10010101110000…
…10001101010000
3101221111010012000
421113002031100
5310200031141
623325434000
73614522010
oct1127021520
9357433160
10157033296
1180706492
124470b900
13266c2314
1416bd9c40
15dbbd5b6
hex95c2350

157033296 has 80 divisors (see below), whose sum is σ = 515145600. Its totient is φ = 44865792.

The previous prime is 157033249. The next prime is 157033297. The reversal of 157033296 is 692330751.

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

It is a self number, because there is not a number n which added to its sum of digits gives 157033296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157033297) by changing a digit.

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, 22941 + ... + 28988.

It is an arithmetic number, because the mean of its divisors is an integer number (6439320).

Almost surely, 2157033296 is an apocalyptic number.

157033296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157033296 is an abundant number, since it is smaller than the sum of its proper divisors (358112304).

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

157033296 is a wasteful number, since it uses less digits than its factorization.

157033296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51953 (or 51941 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 157033296 is about 12531.2926707503. The cubic root of 157033296 is about 539.5072047408.

The spelling of 157033296 in words is "one hundred fifty-seven million, thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 51929 103858 155787 207716 311574 363503 415432 467361 623148 727006 830864 934722 1090509 1246296 1402083 1454012 1869444 2181018 2492592 2804166 2908024 3271527 3738888 4362036 5608332 5816048 6543054 7477776 8724072 9814581 11216664 13086108 17448144 19629162 22433328 26172216 39258324 52344432 78516648 157033296