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632085312 = 263191631063
BaseRepresentation
bin100101101011001…
…101101101000000
31122001101021001010
4211223031231000
52243303212222
6142415440520
721443431215
oct4553155500
91561337033
10632085312
112a4883061
12157826140
13a0c50aa1
145dd39b0c
153a75980c
hex25acdb40

632085312 has 112 divisors (see below), whose sum is σ = 1772879360. Its totient is φ = 198194688.

The previous prime is 632085299. The next prime is 632085323. The reversal of 632085312 is 213580236.

It is a super-2 number, since 2×6320853122 = 799063683292274688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 632085312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594093 + ... + 595155.

It is an arithmetic number, because the mean of its divisors is an integer number (15829280).

Almost surely, 2632085312 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 632085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886439680).

632085312 is an abundant number, since it is smaller than the sum of its proper divisors (1140794048).

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

632085312 is a wasteful number, since it uses less digits than its factorization.

632085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 632085312 is about 25141.3068872722. The cubic root of 632085312 is about 858.2066976108.

The spelling of 632085312 in words is "six hundred thirty-two million, eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 163 192 228 304 326 456 489 608 652 912 978 1063 1216 1304 1824 1956 2126 2608 3097 3189 3648 3912 4252 5216 6194 6378 7824 8504 9291 10432 12388 12756 15648 17008 18582 20197 24776 25512 31296 34016 37164 40394 49552 51024 60591 68032 74328 80788 99104 102048 121182 148656 161576 173269 198208 204096 242364 297312 323152 346538 484728 519807 594624 646304 693076 969456 1039614 1292608 1386152 1938912 2079228 2772304 3292111 3877824 4158456 5544608 6584222 8316912 9876333 11089216 13168444 16633824 19752666 26336888 33267648 39505332 52673776 79010664 105347552 158021328 210695104 316042656 632085312