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152514396 = 223261199349
BaseRepresentation
bin10010001011100…
…10111101011100
3101121222112102100
421011302331130
5303020430041
623044525100
73531231246
oct1105627534
9347875370
10152514396
11790aa361
12430b0790
132579c508
1416381096
15d5c96b6
hex9172f5c

152514396 has 72 divisors (see below), whose sum is σ = 394940000. Its totient is φ = 49610880.

The previous prime is 152514391. The next prime is 152514413. The reversal of 152514396 is 693415251.

152514396 is a `hidden beast` number, since 1 + 52 + 514 + 3 + 96 = 666.

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 152514396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152514391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436830 + ... + 437178.

Almost surely, 2152514396 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 152514396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197470000).

152514396 is an abundant number, since it is smaller than the sum of its proper divisors (242425604).

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

152514396 is a wasteful number, since it uses less digits than its factorization.

152514396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 614 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 152514396 is about 12349.6718984757. The cubic root of 152514396 is about 534.2816760799.

The spelling of 152514396 in words is "one hundred fifty-two million, five hundred fourteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 199 244 349 366 398 549 597 698 732 796 1047 1098 1194 1396 1791 2094 2196 2388 3141 3582 4188 6282 7164 12139 12564 21289 24278 36417 42578 48556 63867 69451 72834 85156 109251 127734 138902 145668 191601 208353 218502 255468 277804 383202 416706 437004 625059 766404 833412 1250118 2500236 4236511 8473022 12709533 16946044 25419066 38128599 50838132 76257198 152514396