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630481776 = 243371512351
BaseRepresentation
bin100101100101000…
…110001101110000
31121221100210101220
4211211012031300
52242400404101
6142321225040
721424002201
oct4545061560
91557323356
10630481776
112a3988321
12157192180
13a080bc52
145da3d5a8
153a53e636
hex25946370

630481776 has 80 divisors (see below), whose sum is σ = 1684558848. Its totient is φ = 203040000.

The previous prime is 630481711. The next prime is 630481777. The reversal of 630481776 is 677184036.

It is a super-2 number, since 2×6304817762 = 795014539736228352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630481777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 267001 + ... + 269351.

Almost surely, 2630481776 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 630481776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842279424).

630481776 is an abundant number, since it is smaller than the sum of its proper divisors (1054077072).

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

630481776 is a wasteful number, since it uses less digits than its factorization.

630481776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 630481776 is about 25109.3961695617. The cubic root of 630481776 is about 857.4803554108.

The spelling of 630481776 in words is "six hundred thirty million, four hundred eighty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 151 222 296 302 444 453 592 604 888 906 1208 1776 1812 2351 2416 3624 4702 5587 7053 7248 9404 11174 14106 16761 18808 22348 28212 33522 37616 44696 56424 67044 86987 89392 112848 134088 173974 260961 268176 347948 355001 521922 695896 710002 1043844 1065003 1391792 1420004 2087688 2130006 2840008 4175376 4260012 5680016 8520024 13135037 17040048 26270074 39405111 52540148 78810222 105080296 157620444 210160592 315240888 630481776