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627604672 = 26311372309
BaseRepresentation
bin100101011010000…
…111110011000000
31121201221121202111
4211122013303000
52241131322142
6142135425104
721360360142
oct4532076300
91551847674
10627604672
112a22a2752
12156225194
13a0042516
145d4d0c92
153a171e17
hex25687cc0

627604672 has 56 divisors (see below), whose sum is σ = 1295521920. Its totient is φ = 301332480.

The previous prime is 627604643. The next prime is 627604687. The reversal of 627604672 is 276406726.

It is a happy 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, 270654 + ... + 272962.

It is an arithmetic number, because the mean of its divisors is an integer number (23134320).

Almost surely, 2627604672 is an apocalyptic number.

627604672 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647760960).

627604672 is an abundant number, since it is smaller than the sum of its proper divisors (667917248).

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

627604672 is a wasteful number, since it uses less digits than its factorization.

627604672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 627604672 is about 25052.0392782703. The cubic root of 627604672 is about 856.1740409503.

The spelling of 627604672 in words is "six hundred twenty-seven million, six hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 137 248 274 496 548 992 1096 1984 2192 2309 4247 4384 4618 8494 8768 9236 16988 18472 33976 36944 67952 71579 73888 135904 143158 147776 271808 286316 316333 572632 632666 1145264 1265332 2290528 2530664 4581056 5061328 9806323 10122656 19612646 20245312 39225292 78450584 156901168 313802336 627604672