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157850816 = 264797541
BaseRepresentation
bin10010110100010…
…01110011000000
3102000000122121112
421122021303000
5310402211231
623355142452
73624465314
oct1132116300
9360018545
10157850816
1181114722
1244a44a28
132691a466
1416d6db44
15dcd092b
hex9689cc0

157850816 has 56 divisors (see below), whose sum is σ = 323795136. Its totient is φ = 76308480.

The previous prime is 157850813. The next prime is 157850827. The reversal of 157850816 is 618058751.

It is a super-2 number, since 2×1578508162 = 49833760223731712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157850813) 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 7 ways as a sum of consecutive naturals, for example, 291506 + ... + 292046.

It is an arithmetic number, because the mean of its divisors is an integer number (5782056).

Almost surely, 2157850816 is an apocalyptic number.

157850816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157850816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161897568).

157850816 is an abundant number, since it is smaller than the sum of its proper divisors (165944320).

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

157850816 is an equidigital number, since it uses as much as digits as its factorization.

157850816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 41.

The square root of 157850816 is about 12563.8694676441. The cubic root of 157850816 is about 540.4418149166.

The spelling of 157850816 in words is "one hundred fifty-seven million, eight hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 97 188 194 376 388 541 752 776 1082 1504 1552 2164 3008 3104 4328 4559 6208 8656 9118 17312 18236 25427 34624 36472 50854 52477 72944 101708 104954 145888 203416 209908 291776 406832 419816 813664 839632 1627328 1679264 2466419 3358528 4932838 9865676 19731352 39462704 78925408 157850816