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157541436 = 223413113331
BaseRepresentation
bin10010110001111…
…10010000111100
3101222102221020000
421120332100330
5310312311221
623344354300
73622036323
oct1130762074
9358387200
10157541436
1180a23238
1244915990
132683c6b0
1416ccd0ba
15dc6de26
hex963e43c

157541436 has 120 divisors (see below), whose sum is σ = 448801584. Its totient is φ = 47900160.

The previous prime is 157541401. The next prime is 157541443. The reversal of 157541436 is 634145751.

157541436 is a `hidden beast` number, since 1 + 575 + 41 + 43 + 6 = 666.

157541436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 157541436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 475791 + ... + 476121.

Almost surely, 2157541436 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 157541436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224400792).

157541436 is an abundant number, since it is smaller than the sum of its proper divisors (291260148).

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

157541436 is a wasteful number, since it uses less digits than its factorization.

157541436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 157541436 is about 12551.5511392019. The cubic root of 157541436 is about 540.0885040122.

The spelling of 157541436 in words is "one hundred fifty-seven million, five hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 113 117 156 162 226 234 324 331 339 351 452 468 662 678 702 993 1017 1053 1324 1356 1404 1469 1986 2034 2106 2938 2979 3051 3972 4068 4212 4303 4407 5876 5958 6102 8606 8814 8937 9153 11916 12204 12909 13221 17212 17628 17874 18306 25818 26442 26811 35748 36612 37403 38727 39663 51636 52884 53622 74806 77454 79326 107244 112209 116181 118989 149612 154908 158652 224418 232362 237978 336627 348543 448836 464724 475956 486239 673254 697086 972478 1009881 1346508 1394172 1458717 1944956 2019762 2917434 3029643 4039524 4376151 5834868 6059286 8752302 12118572 13128453 17504604 26256906 39385359 52513812 78770718 157541436