Search a number
-
+
157354884 = 2232193141181
BaseRepresentation
bin10010110000100…
…00101110000100
3101222002110022200
421120100232010
5310240324014
623340354500
73620331411
oct1130205604
9358073280
10157354884
1180906065
1244845a30
13267a57cb
1416c81108
15dc33a09
hex9610b84

157354884 has 144 divisors (see below), whose sum is σ = 445186560. Its totient is φ = 46656000.

The previous prime is 157354871. The next prime is 157354913. The reversal of 157354884 is 488453751.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869274 + ... + 869454.

Almost surely, 2157354884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157354884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222593280).

157354884 is an abundant number, since it is smaller than the sum of its proper divisors (287831676).

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

157354884 is a wasteful number, since it uses less digits than its factorization.

157354884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 157354884 is about 12544.1175058272. The cubic root of 157354884 is about 539.8752386671.

The spelling of 157354884 in words is "one hundred fifty-seven million, three hundred fifty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 41 57 62 76 82 93 114 123 124 164 171 181 186 228 246 279 342 362 369 372 492 543 558 589 684 724 738 779 1086 1116 1178 1271 1476 1558 1629 1767 2172 2337 2356 2542 3116 3258 3439 3534 3813 4674 5084 5301 5611 6516 6878 7011 7068 7421 7626 9348 10317 10602 11222 11439 13756 14022 14842 15252 16833 20634 21204 22263 22444 22878 24149 28044 29684 30951 33666 41268 44526 45756 48298 50499 61902 66789 67332 72447 89052 96596 100998 106609 123804 133578 140999 144894 201996 213218 217341 230051 267156 281998 289788 319827 422997 426436 434682 460102 563996 639654 690153 845994 869364 920204 959481 1268991 1279308 1380306 1691988 1918962 2070459 2537982 2760612 3837924 4140918 4370969 5075964 8281836 8741938 13112907 17483876 26225814 39338721 52451628 78677442 157354884