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149415656 = 231329107463
BaseRepresentation
bin10001110011111…
…10011011101000
3101102011002202012
420321332123220
5301222300111
622454255052
73463004105
oct1071763350
9342132665
10149415656
1177383215
1242057488
1324c55c40
1415bb5aac
15d1b648b
hex8e7e6e8

149415656 has 64 divisors (see below), whose sum is σ = 315705600. Its totient is φ = 65818368.

The previous prime is 149415653. The next prime is 149415661. The reversal of 149415656 is 656514941.

It is not an unprimeable number, because it can be changed into a prime (149415653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322481 + ... + 322943.

It is an arithmetic number, because the mean of its divisors is an integer number (4932900).

Almost surely, 2149415656 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 149415656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157852800).

149415656 is an abundant number, since it is smaller than the sum of its proper divisors (166289944).

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

149415656 is a wasteful number, since it uses less digits than its factorization.

149415656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its digits is 129600, while the sum is 41.

The square root of 149415656 is about 12223.5696913790. The cubic root of 149415656 is about 530.6384332035.

The spelling of 149415656 in words is "one hundred forty-nine million, four hundred fifteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 26 29 52 58 104 107 116 214 232 377 428 463 754 856 926 1391 1508 1852 2782 3016 3103 3704 5564 6019 6206 11128 12038 12412 13427 24076 24824 26854 40339 48152 49541 53708 80678 99082 107416 161356 174551 198164 322712 349102 396328 644033 698204 1288066 1396408 1436689 2576132 2873378 5152264 5746756 11493512 18676957 37353914 74707828 149415656