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149585408 = 29741737
BaseRepresentation
bin10001110101001…
…11111000000000
3101102110201121022
420322213320000
5301243213113
622502045012
73464312030
oct1072477000
9342421538
10149585408
1177489805
1242119768
1324cb529b
1415c1b8c0
15d1eb908
hex8ea7e00

149585408 has 40 divisors (see below), whose sum is σ = 341583792. Its totient is φ = 64106496.

The previous prime is 149585389. The next prime is 149585411. The reversal of 149585408 is 804585941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17285 + ... + 24452.

Almost surely, 2149585408 is an apocalyptic number.

It is an amenable number.

149585408 is an abundant number, since it is smaller than the sum of its proper divisors (191998384).

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

149585408 is an frugal number, since it uses more digits than its factorization.

149585408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41762 (or 41746 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The square root of 149585408 is about 12230.5113548044. The cubic root of 149585408 is about 530.8393109583.

The spelling of 149585408 in words is "one hundred forty-nine million, five hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 41737 83474 166948 292159 333896 584318 667792 1168636 1335584 2337272 2671168 4674544 5342336 9349088 10684672 18698176 21369344 37396352 74792704 149585408