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149766048 = 2532520021
BaseRepresentation
bin10001110110100…
…11111110100000
3101102210220101200
420323103332200
5301320003143
622510001200
73465663465
oct1073237640
9342726350
10149766048
11775a24a3
12421a6200
1325049583
1415c6766c
15d2351d3
hex8ed3fa0

149766048 has 36 divisors (see below), whose sum is σ = 425898018. Its totient is φ = 49921920.

The previous prime is 149766031. The next prime is 149766061. The reversal of 149766048 is 840667941.

It can be written as a sum of positive squares in only one way, i.e., 149523984 + 242064 = 12228^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 149765994 and 149766012.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 259723 + ... + 260298.

Almost surely, 2149766048 is an apocalyptic number.

149766048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149766048 is an abundant number, since it is smaller than the sum of its proper divisors (276131970).

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

149766048 is a wasteful number, since it uses less digits than its factorization.

149766048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520037 (or 520026 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 149766048 is about 12237.8939364582. The cubic root of 149766048 is about 531.0529063014.

The spelling of 149766048 in words is "one hundred forty-nine million, seven hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 520021 1040042 1560063 2080084 3120126 4160168 4680189 6240252 8320336 9360378 12480504 16640672 18720756 24961008 37441512 49922016 74883024 149766048