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631486080 = 27325176449
BaseRepresentation
bin100101101000111…
…011011010000000
31122000020211001100
4211220323122000
52243130023310
6142354534400
721435354201
oct4550733200
91560224040
10631486080
112a4503925
12157597400
13a0aa1104
145dc215a8
153a68bec0
hex25a3b680

631486080 has 192 divisors, whose sum is σ = 2309229000. Its totient is φ = 158466048.

The previous prime is 631486057. The next prime is 631486123. The reversal of 631486080 is 80684136.

It is a happy number.

631486080 is a `hidden beast` number, since 6 + 3 + 1 + 48 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 631416384 + 69696 = 25128^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 94696 + ... + 101144.

Almost surely, 2631486080 is an apocalyptic number.

631486080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154614500).

631486080 is an abundant number, since it is smaller than the sum of its proper divisors (1677742920).

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

631486080 is a wasteful number, since it uses less digits than its factorization.

631486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 631486080 is about 25129.3867812169. The cubic root of 631486080 is about 857.9354117028.

The spelling of 631486080 in words is "six hundred thirty-one million, four hundred eighty-six thousand, eighty".