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632045920 = 25511232647
BaseRepresentation
bin100101101011000…
…100000101100000
31122001022021000011
4211223010011200
52243300432140
6142414534304
721443205322
oct4553040540
91561267004
10632045920
112a4856500
12157807394
13a0c38b8c
145dd29612
153a74ccea
hex25ac4160

632045920 has 72 divisors (see below), whose sum is σ = 1641345552. Its totient is φ = 229827840.

The previous prime is 632045917. The next prime is 632045929. The reversal of 632045920 is 29540236.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632045929) 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 11 ways as a sum of consecutive naturals, for example, 3037 + ... + 35683.

It is an arithmetic number, because the mean of its divisors is an integer number (22796466).

Almost surely, 2632045920 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 632045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820672776).

632045920 is an abundant number, since it is smaller than the sum of its proper divisors (1009299632).

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

632045920 is a wasteful number, since it uses less digits than its factorization.

632045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32684 (or 32665 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 632045920 is about 25140.5234631262. The cubic root of 632045920 is about 858.1888692260.

The spelling of 632045920 in words is "six hundred thirty-two million, forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 32647 65294 130588 163235 261176 326470 359117 522352 652940 718234 1044704 1305880 1436468 1795585 2611760 2872936 3591170 3950287 5223520 5745872 7182340 7900574 11491744 14364680 15801148 19751435 28729360 31602296 39502870 57458720 63204592 79005740 126409184 158011480 316022960 632045920