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157797444 = 2237243792
BaseRepresentation
bin10010110011111…
…00110001000100
3101222220221101210
421121330301010
5310344004234
623354051420
73624153600
oct1131746104
9358827353
10157797444
1181088612
1244a19b70
13268cc08c
1416d58500
15dcbebe9
hex967cc44

157797444 has 108 divisors (see below), whose sum is σ = 443885904. Its totient is φ = 43479072.

The previous prime is 157797443. The next prime is 157797463. The reversal of 157797444 is 444797751.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 157797393 and 157797402.

It is not an unprimeable number, because it can be changed into a prime (157797443) 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 35 ways as a sum of consecutive naturals, for example, 1997397 + ... + 1997475.

Almost surely, 2157797444 is an apocalyptic number.

157797444 is a gapful number since it is divisible by the number (14) 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 157797444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221942952).

157797444 is an abundant number, since it is smaller than the sum of its proper divisors (286088460).

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

157797444 is a wasteful number, since it uses less digits than its factorization.

157797444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 134 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The square root of 157797444 is about 12561.7452609102. The cubic root of 157797444 is about 540.3808972459.

The spelling of 157797444 in words is "one hundred fifty-seven million, seven hundred ninety-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 79 84 86 98 129 147 158 172 196 237 258 294 301 316 474 516 553 588 602 903 948 1106 1204 1659 1806 2107 2212 3318 3397 3612 3871 4214 6241 6321 6636 6794 7742 8428 10191 11613 12482 12642 13588 15484 18723 20382 23226 23779 24964 25284 37446 40764 43687 46452 47558 71337 74892 87374 95116 131061 142674 166453 174748 262122 268363 285348 305809 332906 499359 524244 536726 611618 665812 805089 917427 998718 1073452 1223236 1610178 1834854 1878541 1997436 3220356 3669708 3757082 5635623 7514164 11271246 13149787 22542492 26299574 39449361 52599148 78898722 157797444