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31038080 = 27548497
BaseRepresentation
bin111011001100…
…1101010000000
32011101220020112
41312121222000
530421204310
63025130452
7524551013
oct166315200
964356215
1031038080
111657a407
12a489a28
136579638
14419d37a
152ad1705
hex1d99a80

31038080 has 32 divisors (see below), whose sum is σ = 74201940. Its totient is φ = 12414976.

The previous prime is 31038053. The next prime is 31038083. The reversal of 31038080 is 8083013.

It can be written as a sum of positive squares in 2 ways, for example, as 28987456 + 2050624 = 5384^2 + 1432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (31038083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23609 + ... + 24888.

Almost surely, 231038080 is an apocalyptic number.

It is an amenable number.

31038080 is an abundant number, since it is smaller than the sum of its proper divisors (43163860).

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

31038080 is an equidigital number, since it uses as much as digits as its factorization.

31038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48516 (or 48504 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 31038080 is about 5571.1829982509. The cubic root of 31038080 is about 314.2666403222.

The spelling of 31038080 in words is "thirty-one million, thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 48497 96994 193988 242485 387976 484970 775952 969940 1551904 1939880 3103808 3879760 6207616 7759520 15519040 31038080