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149152872 = 23311564973
BaseRepresentation
bin10001110001111…
…10010001101000
3101101122202021110
420320332101220
5301140342442
622444510320
73460531011
oct1070762150
9341582243
10149152872
1177213840
1241b4b3a0
1324b9344b
1415b48008
15d16369c
hex8e3e468

149152872 has 32 divisors (see below), whose sum is σ = 406781280. Its totient is φ = 45197760.

The previous prime is 149152867. The next prime is 149152879. The reversal of 149152872 is 278251941.

It is a self number, because there is not a number n which added to its sum of digits gives 149152872.

It is not an unprimeable number, because it can be changed into a prime (149152879) 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 7 ways as a sum of consecutive naturals, for example, 282223 + ... + 282750.

It is an arithmetic number, because the mean of its divisors is an integer number (12711915).

Almost surely, 2149152872 is an apocalyptic number.

149152872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149152872 is an abundant number, since it is smaller than the sum of its proper divisors (257628408).

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

149152872 is a wasteful number, since it uses less digits than its factorization.

149152872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564993 (or 564989 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 149152872 is about 12212.8158915133. The cubic root of 149152872 is about 530.3271647994.

The spelling of 149152872 in words is "one hundred forty-nine million, one hundred fifty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 564973 1129946 1694919 2259892 3389838 4519784 6214703 6779676 12429406 13559352 18644109 24858812 37288218 49717624 74576436 149152872