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149253216 = 2537231729
BaseRepresentation
bin10001110010101…
…10110001100000
3101101211211220220
420321112301200
5301202100331
622451003040
73461426400
oct1071266140
9341754826
10149253216
1177282172
1241b99480
1324bca018
1415b72800
15d183296
hex8e56c60

149253216 has 72 divisors (see below), whose sum is σ = 455769720. Its totient is φ = 42642432.

The previous prime is 149253211. The next prime is 149253239. The reversal of 149253216 is 612352941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149253211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11161 + ... + 20568.

It is an arithmetic number, because the mean of its divisors is an integer number (6330135).

Almost surely, 2149253216 is an apocalyptic number.

149253216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149253216 is an abundant number, since it is smaller than the sum of its proper divisors (306516504).

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

149253216 is a wasteful number, since it uses less digits than its factorization.

149253216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31756 (or 31741 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 149253216 is about 12216.9233442794. The cubic root of 149253216 is about 530.4460656718.

The spelling of 149253216 in words is "one hundred forty-nine million, two hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 31729 63458 95187 126916 190374 222103 253832 380748 444206 507664 666309 761496 888412 1015328 1332618 1522992 1554721 1776824 2665236 3045984 3109442 3553648 4664163 5330472 6218884 7107296 9328326 10660944 12437768 18656652 21321888 24875536 37313304 49751072 74626608 149253216