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38059136 = 272910253
BaseRepresentation
bin1001000100101…
…1110010000000
32122121121022122
42101023302000
534220343021
63435423412
7641332403
oct221136200
978547278
1038059136
111a535435
12108b4b68
137b672cb
1450a9d3a
15351bbab
hex244bc80

38059136 has 32 divisors (see below), whose sum is σ = 78443100. Its totient is φ = 18371584.

The previous prime is 38059127. The next prime is 38059139. The reversal of 38059136 is 63195083.

It can be written as a sum of positive squares in 2 ways, for example, as 36481600 + 1577536 = 6040^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 38059096 and 38059105.

It is not an unprimeable number, because it can be changed into a prime (38059139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1415 + ... + 8838.

Almost surely, 238059136 is an apocalyptic number.

It is an amenable number.

38059136 is an abundant number, since it is smaller than the sum of its proper divisors (40383964).

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

38059136 is a wasteful number, since it uses less digits than its factorization.

38059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10296 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 38059136 is about 6169.2087012841. The cubic root of 38059136 is about 336.3718483419.

The spelling of 38059136 in words is "thirty-eight million, fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 10253 20506 41012 82024 164048 297337 328096 594674 656192 1189348 1312384 2378696 4757392 9514784 19029568 38059136