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31677056 = 27614057
BaseRepresentation
bin111100011010…
…1101010000000
32012121100202022
41320311222000
531102131211
63050541012
7533151635
oct170655200
965540668
1031677056
1116976494
12a737768
136741428
1442c818c
152baabdb
hex1e35a80

31677056 has 32 divisors (see below), whose sum is σ = 64156980. Its totient is φ = 15575040.

The previous prime is 31677053. The next prime is 31677067. The reversal of 31677056 is 65077613.

It can be written as a sum of positive squares in 2 ways, for example, as 28987456 + 2689600 = 5384^2 + 1640^2 .

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 (31677053) 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, 5780 + ... + 9836.

Almost surely, 231677056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32078490).

31677056 is an abundant number, since it is smaller than the sum of its proper divisors (32479924).

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

31677056 is an equidigital number, since it uses as much as digits as its factorization.

31677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 31677056 is about 5628.2373794999. The cubic root of 31677056 is about 316.4085939224.

The spelling of 31677056 in words is "thirty-one million, six hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 4057 7808 8114 16228 32456 64912 129824 247477 259648 494954 519296 989908 1979816 3959632 7919264 15838528 31677056