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149429184 = 2631722693
BaseRepresentation
bin10001110100000…
…01101111000000
3101102011210022020
420322001233000
5301223213214
622454441440
73463061412
oct1072015700
9342153266
10149429184
11773923a3
1242063280
1324c5c148
1415bba9b2
15d1ba4a9
hex8e81bc0

149429184 has 84 divisors (see below), whose sum is σ = 420145464. Its totient is φ = 46862336.

The previous prime is 149429177. The next prime is 149429209. The reversal of 149429184 is 481924941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54142 + ... + 56834.

Almost surely, 2149429184 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 149429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210072732).

149429184 is an abundant number, since it is smaller than the sum of its proper divisors (270716280).

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

149429184 is a wasteful number, since it uses less digits than its factorization.

149429184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2715 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 149429184 is about 12224.1230360300. The cubic root of 149429184 is about 530.6544472775.

The spelling of 149429184 in words is "one hundred forty-nine million, four hundred twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 289 408 544 578 816 867 1088 1156 1632 1734 2312 2693 3264 3468 4624 5386 6936 8079 9248 10772 13872 16158 18496 21544 27744 32316 43088 45781 55488 64632 86176 91562 129264 137343 172352 183124 258528 274686 366248 517056 549372 732496 778277 1098744 1464992 1556554 2197488 2334831 2929984 3113108 4394976 4669662 6226216 8789952 9339324 12452432 18678648 24904864 37357296 49809728 74714592 149429184