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38991080 = 2352933613
BaseRepresentation
bin1001010010111…
…1010011101000
32201100221201002
42110233103220
534440203310
63511414132
7652263422
oct224572350
981327632
1038991080
1120011637
1211084348
13810255b
14526d812
153652da5
hex252f4e8

38991080 has 32 divisors (see below), whose sum is σ = 90757800. Its totient is φ = 15058176.

The previous prime is 38991061. The next prime is 38991089. The reversal of 38991080 is 8019983.

38991080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26894596 + 12096484 = 5186^2 + 3478^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38991089) 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 7 ways as a sum of consecutive naturals, for example, 15647 + ... + 17966.

Almost surely, 238991080 is an apocalyptic number.

It is an amenable number.

38991080 is an abundant number, since it is smaller than the sum of its proper divisors (51766720).

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

38991080 is a wasteful number, since it uses less digits than its factorization.

38991080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33653 (or 33649 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 38991080 is about 6244.2837859918. The cubic root of 38991080 is about 339.0952879659.

The spelling of 38991080 in words is "thirty-eight million, nine hundred ninety-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 33613 67226 134452 168065 268904 336130 672260 974777 1344520 1949554 3899108 4873885 7798216 9747770 19495540 38991080