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157375332 = 22331738423
BaseRepresentation
bin10010110000101…
…01101101100100
3101222010111101000
421120111231210
5310242002312
623341033300
73620445132
oct1130255544
9358114330
10157375332
118091a464
1244855830
13267b1bca
1416c88752
15dc39adc
hex9615b64

157375332 has 48 divisors (see below), whose sum is σ = 410417280. Its totient is φ = 52149024.

The previous prime is 157375321. The next prime is 157375333. The reversal of 157375332 is 233573751.

157375332 is a `hidden beast` number, since 1 + 573 + 7 + 53 + 32 = 666.

It is a super-2 number, since 2×1573753322 = 49533990244220448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (157375333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14473 + ... + 22895.

It is an arithmetic number, because the mean of its divisors is an integer number (8550360).

Almost surely, 2157375332 is an apocalyptic number.

157375332 is a gapful number since it is divisible by the number (12) 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 157375332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205208640).

157375332 is an abundant number, since it is smaller than the sum of its proper divisors (253041948).

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

157375332 is a wasteful number, since it uses less digits than its factorization.

157375332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8601 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 157375332 is about 12544.9325227360. The cubic root of 157375332 is about 539.8986229444.

The spelling of 157375332 in words is "one hundred fifty-seven million, three hundred seventy-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1557 2076 3114 4671 6228 8423 9342 16846 18684 25269 33692 50538 75807 101076 151614 227421 303228 454842 909684 1457179 2914358 4371537 5828716 8743074 13114611 17486148 26229222 39343833 52458444 78687666 157375332