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157939434 = 23223333761
BaseRepresentation
bin10010110100111…
…11011011101010
3102000012011011200
421122133123222
5310413030214
623401105030
73625314552
oct1132373352
9360164150
10157939434
1181175264
1244a88176
132694b8b3
1416d94162
15dcebd09
hex969f6ea

157939434 has 24 divisors (see below), whose sum is σ = 342439812. Its totient is φ = 52609920.

The previous prime is 157939433. The next prime is 157939493. The reversal of 157939434 is 434939751.

157939434 is a `hidden beast` number, since 1 + 579 + 39 + 43 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156125025 + 1814409 = 12495^2 + 1347^2 .

It is a super-3 number, since 3×1579394343 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157939434.

It is not an unprimeable number, because it can be changed into a prime (157939433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40114 + ... + 43874.

Almost surely, 2157939434 is an apocalyptic number.

157939434 is an abundant number, since it is smaller than the sum of its proper divisors (184500378).

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

157939434 is a wasteful number, since it uses less digits than its factorization.

157939434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6099 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 157939434 is about 12567.3956729308. The cubic root of 157939434 is about 540.5429313048.

The spelling of 157939434 in words is "one hundred fifty-seven million, nine hundred thirty-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 2333 3761 4666 6999 7522 11283 13998 20997 22566 33849 41994 67698 8774413 17548826 26323239 52646478 78969717 157939434