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157333752 = 233580933
BaseRepresentation
bin10010110000010…
…11100011111000
3101222001101100000
421120023203320
5310234140002
623340113000
73620212662
oct1130134370
9358041300
10157333752
11808a11a4
1244835760
1326798cc4
1416c77532
15dc2c61c
hex960b8f8

157333752 has 48 divisors (see below), whose sum is σ = 441899640. Its totient is φ = 52443936.

The previous prime is 157333727. The next prime is 157333753. The reversal of 157333752 is 257333751.

157333752 is a `hidden beast` number, since 1 + 573 + 3 + 37 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157333753) 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 11 ways as a sum of consecutive naturals, for example, 38523 + ... + 42410.

Almost surely, 2157333752 is an apocalyptic number.

157333752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157333752 is an abundant number, since it is smaller than the sum of its proper divisors (284565888).

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

157333752 is an equidigital number, since it uses as much as digits as its factorization.

157333752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80954 (or 80938 counting only the distinct ones).

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

The square root of 157333752 is about 12543.2751703851. The cubic root of 157333752 is about 539.8510700406.

Subtracting 157333752 from its reverse (257333751), we obtain a palindrome (99999999).

The spelling of 157333752 in words is "one hundred fifty-seven million, three hundred thirty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 80933 161866 242799 323732 485598 647464 728397 971196 1456794 1942392 2185191 2913588 4370382 5827176 6555573 8740764 13111146 17481528 19666719 26222292 39333438 52444584 78666876 157333752