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149739048 = 23322079709
BaseRepresentation
bin10001110110011…
…01011000101000
3101102202112100200
420323031120220
5301313122143
622505232200
73465521664
oct1073153050
9342675320
10149739048
1177584188
1242192660
132503a1b4
1415c5b8a4
15d22c1d3
hex8ecd628

149739048 has 24 divisors (see below), whose sum is σ = 405543450. Its totient is φ = 49912992.

The previous prime is 149739041. The next prime is 149739053. The reversal of 149739048 is 840937941.

It can be written as a sum of positive squares in only one way, i.e., 131744484 + 17994564 = 11478^2 + 4242^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 149738994 and 149739012.

It is not an unprimeable number, because it can be changed into a prime (149739041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1039783 + ... + 1039926.

Almost surely, 2149739048 is an apocalyptic number.

149739048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149739048 is an abundant number, since it is smaller than the sum of its proper divisors (255804402).

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

149739048 is a wasteful number, since it uses less digits than its factorization.

149739048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079721 (or 2079714 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 149739048 is about 12236.7907557496. The cubic root of 149739048 is about 531.0209914350.

The spelling of 149739048 in words is "one hundred forty-nine million, seven hundred thirty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2079709 4159418 6239127 8318836 12478254 16637672 18717381 24956508 37434762 49913016 74869524 149739048