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157480992 = 2532312569
BaseRepresentation
bin10010110001011…
…11100000100000
3101222022212022100
421120233200200
5310303342432
623343210400
73621365154
oct1130574040
9358285270
10157480992
1180991889
12448a6a00
132681b026
1416cb5064
15dc5b07c
hex962f820

157480992 has 108 divisors (see below), whose sum is σ = 463562190. Its totient is φ = 50711040.

The previous prime is 157480969. The next prime is 157481003. The reversal of 157480992 is 299084751.

It can be written as a sum of positive squares in only one way, i.e., 150700176 + 6780816 = 12276^2 + 2604^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 276484 + ... + 277052.

Almost surely, 2157480992 is an apocalyptic number.

157480992 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 157480992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231781095).

157480992 is an abundant number, since it is smaller than the sum of its proper divisors (306081198).

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

157480992 is a wasteful number, since it uses less digits than its factorization.

157480992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 157480992 is about 12549.1430783142. The cubic root of 157480992 is about 540.0194231697.

The spelling of 157480992 in words is "one hundred fifty-seven million, four hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 569 744 961 992 1116 1138 1488 1707 1922 2232 2276 2883 2976 3414 3844 4464 4552 5121 5766 6828 7688 8649 8928 9104 10242 11532 13656 15376 17298 17639 18208 20484 23064 27312 30752 34596 35278 40968 46128 52917 54624 69192 70556 81936 92256 105834 138384 141112 158751 163872 211668 276768 282224 317502 423336 546809 564448 635004 846672 1093618 1270008 1640427 1693344 2187236 2540016 3280854 4374472 4921281 5080032 6561708 8748944 9842562 13123416 17497888 19685124 26246832 39370248 52493664 78740496 157480992