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137967048 = 23324344563
BaseRepresentation
bin10000011100100…
…11010111001000
3100121121110012200
420032103113020
5240304421143
621405040200
73263462202
oct1016232710
9317543180
10137967048
117097375a
123a256060
1322777c0b
1414475772
15c1a41d3
hex83935c8

137967048 has 48 divisors (see below), whose sum is σ = 382359120. Its totient is φ = 44918496.

The previous prime is 137966993. The next prime is 137967061. The reversal of 137967048 is 840769731.

It is a junction number, because it is equal to n+sod(n) for n = 137966994 and 137967012.

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, 19186 + ... + 25377.

It is an arithmetic number, because the mean of its divisors is an integer number (7965815).

Almost surely, 2137967048 is an apocalyptic number.

137967048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137967048 is an abundant number, since it is smaller than the sum of its proper divisors (244392072).

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

137967048 is a wasteful number, since it uses less digits than its factorization.

137967048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44618 (or 44611 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 137967048 is about 11745.9375104757. The cubic root of 137967048 is about 516.7237904698.

The spelling of 137967048 in words is "one hundred thirty-seven million, nine hundred sixty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 44563 89126 133689 178252 267378 356504 401067 534756 802134 1069512 1604268 1916209 3208536 3832418 5748627 7664836 11497254 15329672 17245881 22994508 34491762 45989016 68983524 137967048