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631584992 = 2541641751
BaseRepresentation
bin100101101001010…
…011100011100000
31122000102211201202
4211221103203200
52243141204432
6142401020332
721436245443
oct4551234340
91560384652
10631584992
112a4571175
121576246a8
13a0b0713c
145dc4965a
153a6ab462
hex25a538e0

631584992 has 48 divisors (see below), whose sum is σ = 1277446464. Its totient is φ = 307200000.

The previous prime is 631584983. The next prime is 631585007. The reversal of 631584992 is 299485136.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 840617 + ... + 841367.

It is an arithmetic number, because the mean of its divisors is an integer number (26613468).

Almost surely, 2631584992 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 631584992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638723232).

631584992 is an abundant number, since it is smaller than the sum of its proper divisors (645861472).

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

631584992 is a wasteful number, since it uses less digits than its factorization.

631584992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1435 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 631584992 is about 25131.3547585481. The cubic root of 631584992 is about 857.9802032297.

The spelling of 631584992 in words is "six hundred thirty-one million, five hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 641 656 751 1282 1312 1502 2564 3004 5128 6008 10256 12016 20512 24032 26281 30791 52562 61582 105124 123164 210248 246328 420496 481391 492656 840992 962782 985312 1925564 3851128 7702256 15404512 19737031 39474062 78948124 157896248 315792496 631584992