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149839904 = 2517535197
BaseRepresentation
bin10001110111001…
…10000000100000
3101102221122201002
420323212000200
5301324334104
622511331132
73466422014
oct1073460040
9342848632
10149839904
1177642a35
1242220aa8
1325074086
1415c86544
15d24c01e
hex8ee6020

149839904 has 48 divisors (see below), whose sum is σ = 318304728. Its totient is φ = 69169152.

The previous prime is 149839849. The next prime is 149839927. The reversal of 149839904 is 409938941.

It can be written as a sum of positive squares in 4 ways, for example, as 146410000 + 3429904 = 12100^2 + 1852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26234 + ... + 31430.

Almost surely, 2149839904 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 149839904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159152364).

149839904 is an abundant number, since it is smaller than the sum of its proper divisors (168464824).

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

149839904 is a wasteful number, since it uses less digits than its factorization.

149839904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 149839904 is about 12240.9110772034. The cubic root of 149839904 is about 531.1401868710.

The spelling of 149839904 in words is "one hundred forty-nine million, eight hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 848 901 1696 1802 3604 5197 7208 10394 14416 20788 28832 41576 83152 88349 166304 176698 275441 353396 550882 706792 1101764 1413584 2203528 2827168 4407056 4682497 8814112 9364994 18729988 37459976 74919952 149839904