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157944768 = 2631495521
BaseRepresentation
bin10010110101000…
…00101111000000
3102000012102111020
421122200233000
5310413213033
623401145440
73625336242
oct1132405700
9360172436
10157944768
1181179273
1244a8b280
1326951157
1416d96092
15dced6b3
hex96a0bc0

157944768 has 56 divisors (see below), whose sum is σ = 420776400. Its totient is φ = 52285440.

The previous prime is 157944713. The next prime is 157944781. The reversal of 157944768 is 867449751.

It is a self number, because there is not a number n which added to its sum of digits gives 157944768.

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 7 ways as a sum of consecutive naturals, for example, 25848 + ... + 31368.

Almost surely, 2157944768 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 157944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210388200).

157944768 is an abundant number, since it is smaller than the sum of its proper divisors (262831632).

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

157944768 is a wasteful number, since it uses less digits than its factorization.

157944768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5675 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 157944768 is about 12567.6078869449. The cubic root of 157944768 is about 540.5490163875.

The spelling of 157944768 in words is "one hundred fifty-seven million, nine hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3576 4768 5521 7152 9536 11042 14304 16563 22084 28608 33126 44168 66252 88336 132504 176672 265008 353344 530016 822629 1060032 1645258 2467887 3290516 4935774 6581032 9871548 13162064 19743096 26324128 39486192 52648256 78972384 157944768