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149164632 = 23332923813
BaseRepresentation
bin10001110010000…
…01001001011000
3101101200100102000
420321001021120
5301141232012
622445041000
73460610211
oct1071011130
9341610360
10149164632
1177221661
1241b56160
1324b988c6
1415b4c408
15d166ddc
hex8e41258

149164632 has 64 divisors (see below), whose sum is σ = 428652000. Its totient is φ = 48004992.

The previous prime is 149164627. The next prime is 149164643. The reversal of 149164632 is 236461941.

149164632 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 646 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5643 + ... + 18170.

Almost surely, 2149164632 is an apocalyptic number.

149164632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149164632 is an abundant number, since it is smaller than the sum of its proper divisors (279487368).

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

149164632 is a wasteful number, since it uses less digits than its factorization.

149164632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23857 (or 23847 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 149164632 is about 12213.2973434695. The cubic root of 149164632 is about 530.3411023644.

The spelling of 149164632 in words is "one hundred forty-nine million, one hundred sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 23813 47626 71439 95252 142878 190504 214317 285756 428634 571512 642951 690577 857268 1285902 1381154 1714536 2071731 2571804 2762308 4143462 5143608 5524616 6215193 8286924 12430386 16573848 18645579 24860772 37291158 49721544 74582316 149164632