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534901632 = 27310191367
BaseRepresentation
bin11111111000011…
…111001110000000
31101021111211002120
4133320133032000
52043413323012
6125024444240
716153405656
oct3770371600
91337454076
10534901632
11254a35571
1212b179680
1386a85155
145107cdd6
1531e5e58c
hex1fe1f380

534901632 has 64 divisors (see below), whose sum is σ = 1423267200. Its totient is φ = 177995264.

The previous prime is 534901597. The next prime is 534901649. The reversal of 534901632 is 236109435.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5349016322 = 572239511832526848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 534901593 and 534901602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390613 + ... + 391979.

It is an arithmetic number, because the mean of its divisors is an integer number (22238550).

Almost surely, 2534901632 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 534901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711633600).

534901632 is an abundant number, since it is smaller than the sum of its proper divisors (888365568).

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

534901632 is a wasteful number, since it uses less digits than its factorization.

534901632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 534901632 is about 23127.9405049390. The cubic root of 534901632 is about 811.7543806438.

The spelling of 534901632 in words is "five hundred thirty-four million, nine hundred one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1019 1367 2038 2734 3057 4076 4101 5468 6114 8152 8202 10936 12228 16304 16404 21872 24456 32608 32808 43744 48912 65216 65616 87488 97824 130432 131232 174976 195648 262464 391296 524928 1392973 2785946 4178919 5571892 8357838 11143784 16715676 22287568 33431352 44575136 66862704 89150272 133725408 178300544 267450816 534901632