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157907490 = 235133137353
BaseRepresentation
bin10010110100101…
…11101000100010
3102000010112100120
421122113220202
5310411014430
623400301110
73625122456
oct1132275042
9360115316
10157907490
1181153264
1244a71796
132693a1b0
1416d86666
15dce2610
hex9697a22

157907490 has 128 divisors (see below), whose sum is σ = 433907712. Its totient is φ = 36495360.

The previous prime is 157907483. The next prime is 157907501. The reversal of 157907490 is 94709751.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 447154 + ... + 447506.

It is an arithmetic number, because the mean of its divisors is an integer number (3389904).

Almost surely, 2157907490 is an apocalyptic number.

157907490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157907490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216953856).

157907490 is an abundant number, since it is smaller than the sum of its proper divisors (276000222).

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

157907490 is a wasteful number, since it uses less digits than its factorization.

157907490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 157907490 is about 12566.1247009569. The cubic root of 157907490 is about 540.5064863900.

The spelling of 157907490 in words is "one hundred fifty-seven million, nine hundred seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 37 39 62 65 74 78 93 111 130 155 185 186 195 222 310 353 370 390 403 465 481 555 706 806 930 962 1059 1110 1147 1209 1443 1765 2015 2118 2294 2405 2418 2886 3441 3530 4030 4589 4810 5295 5735 6045 6882 7215 9178 10590 10943 11470 12090 13061 13767 14430 14911 17205 21886 22945 26122 27534 29822 32829 34410 39183 44733 45890 54715 65305 65658 68835 74555 78366 89466 109430 130610 137670 142259 149110 164145 169793 195915 223665 284518 328290 339586 391830 404891 426777 447330 509379 711295 809782 848965 853554 1018758 1214673 1422590 1697930 2024455 2133885 2429346 2546895 4048910 4267770 5093790 5263583 6073365 10527166 12146730 15790749 26317915 31581498 52635830 78953745 157907490