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631578048 = 26310132569
BaseRepresentation
bin100101101001010…
…001110111000000
31122000102111012120
4211221101313000
52243140444143
6142400524240
721436216263
oct4551216700
91560374176
10631578048
112a4566a32
12157620680
13a0b03c2a
145dc46cda
153a6a9383
hex25a51dc0

631578048 has 56 divisors (see below), whose sum is σ = 1687647120. Its totient is φ = 208435200.

The previous prime is 631578047. The next prime is 631578127. The reversal of 631578048 is 840875136.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631578043) 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, 3108 + ... + 35676.

Almost surely, 2631578048 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 631578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843823560).

631578048 is an abundant number, since it is smaller than the sum of its proper divisors (1056069072).

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

631578048 is a wasteful number, since it uses less digits than its factorization.

631578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32685 (or 32675 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 631578048 is about 25131.2166040564. The cubic root of 631578048 is about 857.9770588462.

The spelling of 631578048 in words is "six hundred thirty-one million, five hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 2424 3232 4848 6464 9696 19392 32569 65138 97707 130276 195414 260552 390828 521104 781656 1042208 1563312 2084416 3126624 3289469 6253248 6578938 9868407 13157876 19736814 26315752 39473628 52631504 78947256 105263008 157894512 210526016 315789024 631578048