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157793922 = 232112135573
BaseRepresentation
bin10010110011110…
…11111010000010
3101222220202120100
421121323322002
5310343401142
623354023230
73624140406
oct1131737202
9358822510
10157793922
1181085a00
1244a17b16
13268ca5b0
1416d57106
15dcbdb4c
hex967be82

157793922 has 72 divisors (see below), whose sum is σ = 404772732. Its totient is φ = 44130240.

The previous prime is 157793893. The next prime is 157793929. The reversal of 157793922 is 229397751.

It can be written as a sum of positive squares in 2 ways, for example, as 123676641 + 34117281 = 11121^2 + 5841^2 .

It is not an unprimeable number, because it can be changed into a prime (157793929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25528 + ... + 31100.

Almost surely, 2157793922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157793922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202386366).

157793922 is an abundant number, since it is smaller than the sum of its proper divisors (246978810).

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

157793922 is a wasteful number, since it uses less digits than its factorization.

157793922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 5602 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 157793922 is about 12561.6050726012. The cubic root of 157793922 is about 540.3768768266.

It can be divided in two parts, 15779 and 3922, that added together give a triangular number (19701 = T198).

The spelling of 157793922 in words is "one hundred fifty-seven million, seven hundred ninety-three thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 3146 4719 5573 9438 11146 14157 16719 28314 33438 50157 61303 72449 100314 122606 144898 183909 217347 367818 434694 551727 652041 674333 796939 1103454 1304082 1348666 1593878 2022999 2390817 4045998 4781634 6068997 7172451 8766329 12137994 14344902 17532658 26298987 52597974 78896961 157793922