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73536138 = 23213314257
BaseRepresentation
bin1000110001000…
…01001010001010
312010101000121200
410120201022022
5122311124023
611144045030
71552022034
oct430411212
9163330550
1073536138
1138566875
1220763776
1312309210
149aa2c54
1566c8743
hex462128a

73536138 has 24 divisors (see below), whose sum is σ = 171584868. Its totient is φ = 22626432.

The previous prime is 73536097. The next prime is 73536163. The reversal of 73536138 is 83163537.

73536138 is a `hidden beast` number, since 7 + 35 + 3 + 613 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63632529 + 9903609 = 7977^2 + 3147^2 .

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, 156895 + ... + 157362.

Almost surely, 273536138 is an apocalyptic number.

73536138 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

73536138 is an abundant number, since it is smaller than the sum of its proper divisors (98048730).

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

73536138 is a wasteful number, since it uses less digits than its factorization.

73536138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314278 (or 314275 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 73536138 is about 8575.3214517008. The cubic root of 73536138 is about 418.9545768642.

The spelling of 73536138 in words is "seventy-three million, five hundred thirty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 314257 628514 942771 1885542 2828313 4085341 5656626 8170682 12256023 24512046 36768069 73536138