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157933242 = 23237237137
BaseRepresentation
bin10010110100111…
…01111010111010
3102000011211200100
421122131322322
5310412330432
623401020230
73625260525
oct1132357272
9360154610
10157933242
1181170645
1244a84676
1326948b2c
1416d91bbc
15dcea07c
hex969deba

157933242 has 24 divisors (see below), whose sum is σ = 351438516. Its totient is φ = 51221376.

The previous prime is 157933241. The next prime is 157933253. The reversal of 157933242 is 242339751.

It can be written as a sum of positive squares in 2 ways, for example, as 126360081 + 31573161 = 11241^2 + 5619^2 .

It is a junction number, because it is equal to n+sod(n) for n = 157933197 and 157933206.

It is not an unprimeable number, because it can be changed into a prime (157933241) 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, 117903 + ... + 119234.

Almost surely, 2157933242 is an apocalyptic number.

157933242 is an abundant number, since it is smaller than the sum of its proper divisors (193505274).

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

157933242 is a wasteful number, since it uses less digits than its factorization.

157933242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237182 (or 237179 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 157933242 is about 12567.1493187596. The cubic root of 157933242 is about 540.5358672350.

The spelling of 157933242 in words is "one hundred fifty-seven million, nine hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 237137 474274 711411 1422822 2134233 4268466 8774069 17548138 26322207 52644414 78966621 157933242