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630982656 = 2113311411
BaseRepresentation
bin100101100111000…
…000100000000000
31121222022020111000
4211213000200000
52243012421111
6142340052000
721431156403
oct4547004000
91558266430
10630982656
112a419a677
12157394000
13a0955c25
145db2dd3a
153a5dcc56
hex259c0800

630982656 has 96 divisors (see below), whose sum is σ = 1869285600. Its totient is φ = 210309120.

The previous prime is 630982637. The next prime is 630982657. The reversal of 630982656 is 656289036.

It is a happy number.

630982656 is a `hidden beast` number, since 630 + 9 + 8 + 2 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6309826562 = 796278224345628672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (630982657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49591 + ... + 61001.

It is an arithmetic number, because the mean of its divisors is an integer number (19471725).

Almost surely, 2630982656 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 630982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934642800).

630982656 is an abundant number, since it is smaller than the sum of its proper divisors (1238302944).

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

630982656 is a wasteful number, since it uses less digits than its factorization.

630982656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11442 (or 11416 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 630982656 is about 25119.3681449196. The cubic root of 630982656 is about 857.7073675629.

The spelling of 630982656 in words is "six hundred thirty million, nine hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 11411 13824 18432 22822 27648 34233 45644 55296 68466 91288 102699 136932 182576 205398 273864 308097 365152 410796 547728 616194 730304 821592 1095456 1232388 1460608 1643184 2190912 2464776 2921216 3286368 4381824 4929552 5842432 6572736 8763648 9859104 11684864 13145472 17527296 19718208 23369728 26290944 35054592 39436416 52581888 70109184 78872832 105163776 157745664 210327552 315491328 630982656