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149523984 = 243210192
BaseRepresentation
bin10001110100110…
…00111000010000
3101102100121100100
420322120320100
5301234231414
622500452400
73463634661
oct1072307020
9342317310
10149523984
1177447645
12420aa100
1324c9333c
1415c03368
15d1d8609
hex8e98e10

149523984 has 45 divisors (see below), whose sum is σ = 418870543. Its totient is φ = 49792416.

The previous prime is 149523961. The next prime is 149523991. The reversal of 149523984 is 489325941.

The square root of 149523984 is 12228.

It is a perfect power (a square), and thus also a powerful number.

149523984 is a `hidden beast` number, since 1 + 49 + 523 + 9 + 84 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 146227 + ... + 147245.

Almost surely, 2149523984 is an apocalyptic number.

149523984 is the 12228-th square number.

It is an amenable number.

149523984 is an abundant number, since it is smaller than the sum of its proper divisors (269346559).

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

149523984 is an equidigital number, since it uses as much as digits as its factorization.

149523984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 1024 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 149523984 is about 530.7666417982.

The spelling of 149523984 in words is "one hundred forty-nine million, five hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1019 2038 3057 4076 6114 8152 9171 12228 16304 18342 24456 36684 48912 73368 146736 1038361 2076722 3115083 4153444 6230166 8306888 9345249 12460332 16613776 18690498 24920664 37380996 49841328 74761992 149523984