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149885904 = 2437263727
BaseRepresentation
bin10001110111100…
…01001111010000
3101110000222210210
420323301033100
5301332322104
622512324120
73500003100
oct1073611720
9343028723
10149885904
1177674553
1242243640
132508bcac
1415c99200
15d25a989
hex8ef13d0

149885904 has 60 divisors (see below), whose sum is σ = 450429504. Its totient is φ = 42823872.

The previous prime is 149885893. The next prime is 149885929. The reversal of 149885904 is 409588941.

149885904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29512 + ... + 34215.

Almost surely, 2149885904 is an apocalyptic number.

149885904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

149885904 is an abundant number, since it is smaller than the sum of its proper divisors (300543600).

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

149885904 is a wasteful number, since it uses less digits than its factorization.

149885904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63752 (or 63739 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 149885904 is about 12242.7898781283. The cubic root of 149885904 is about 531.1945336509.

The spelling of 149885904 in words is "one hundred forty-nine million, eight hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 63727 127454 191181 254908 382362 446089 509816 764724 892178 1019632 1338267 1529448 1784356 2676534 3058896 3122623 3568712 5353068 6245246 7137424 9367869 10706136 12490492 18735738 21412272 24980984 37471476 49961968 74942952 149885904