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149465952 = 2533172993
BaseRepresentation
bin10001110100010…
…10101101100000
3101102020122202000
420322022231200
5301230402302
622455324000
73463303536
oct1072125540
9342218660
10149465952
1177407a89
1242080600
1324c72abc
1415bca156
15d1c631c
hex8e8ab60

149465952 has 48 divisors (see below), whose sum is σ = 435944880. Its totient is φ = 49821696.

The previous prime is 149465941. The next prime is 149465959. The reversal of 149465952 is 259564941.

149465952 is a `hidden beast` number, since 14 + 9 + 46 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 149465898 and 149465907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149465959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85633 + ... + 87360.

It is an arithmetic number, because the mean of its divisors is an integer number (9082185).

Almost surely, 2149465952 is an apocalyptic number.

149465952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149465952 is an abundant number, since it is smaller than the sum of its proper divisors (286478928).

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

149465952 is a wasteful number, since it uses less digits than its factorization.

149465952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173012 (or 172998 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 149465952 is about 12225.6268550942. The cubic root of 149465952 is about 530.6979673408.

The spelling of 149465952 in words is "one hundred forty-nine million, four hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 172993 345986 518979 691972 1037958 1383944 1556937 2075916 2767888 3113874 4151832 4670811 5535776 6227748 8303664 9341622 12455496 16607328 18683244 24910992 37366488 49821984 74732976 149465952