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149562972 = 22321333161
BaseRepresentation
bin10001110101000…
…10011001011100
3101102102120211100
420322202121130
5301242003342
622501353100
73464156436
oct1072423134
9342376740
10149562972
1177473969
1242108790
1324ca8000
1415c13656
15d1e4e4c
hex8ea265c

149562972 has 144 divisors (see below), whose sum is σ = 429694720. Its totient is φ = 43804800.

The previous prime is 149562971. The next prime is 149562983. The reversal of 149562972 is 279265941.

149562972 is a `hidden beast` number, since 14 + 9 + 5 + 629 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149562971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2451822 + ... + 2451882.

Almost surely, 2149562972 is an apocalyptic number.

149562972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149562972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214847360).

149562972 is an abundant number, since it is smaller than the sum of its proper divisors (280131748).

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

149562972 is a wasteful number, since it uses less digits than its factorization.

149562972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 149562972 is about 12229.5941061018. The cubic root of 149562972 is about 530.8127698083.

The spelling of 149562972 in words is "one hundred forty-nine million, five hundred sixty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 61 62 78 93 117 122 124 156 169 183 186 234 244 279 338 366 372 403 468 507 549 558 676 732 793 806 1014 1098 1116 1209 1521 1586 1612 1891 2028 2196 2197 2379 2418 3042 3172 3627 3782 4394 4758 4836 5239 5673 6084 6591 7137 7254 7564 8788 9516 10309 10478 11346 13182 14274 14508 15717 17019 19773 20618 20956 22692 24583 26364 28548 30927 31434 34038 39546 41236 47151 49166 61854 62868 68076 68107 73749 79092 92781 94302 98332 123708 134017 136214 147498 185562 188604 204321 221247 268034 272428 294996 319579 371124 402051 408642 442494 536068 612963 639158 804102 817284 884988 958737 1206153 1225926 1278316 1608204 1917474 2412306 2451852 2876211 3834948 4154527 4824612 5752422 8309054 11504844 12463581 16618108 24927162 37390743 49854324 74781486 149562972