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648830976 = 2133171553
BaseRepresentation
bin100110101011000…
…110000000000000
31200012220000202220
4212223012000000
52312100042401
6144214411040
722035654333
oct4653060000
91605800686
10648830976
11303280352
12161360a80
13a4564b71
146225861a
153be66336
hex26ac6000

648830976 has 112 divisors (see below), whose sum is σ = 1833061104. Its totient is φ = 203423744.

The previous prime is 648830957. The next prime is 648831031. The reversal of 648830976 is 679038846.

It is a super-2 number, since 2×6488309762 = 841963270834225152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 417016 + ... + 418568.

It is an arithmetic number, because the mean of its divisors is an integer number (16366617).

Almost surely, 2648830976 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 648830976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916530552).

648830976 is an abundant number, since it is smaller than the sum of its proper divisors (1184230128).

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

648830976 is a wasteful number, since it uses less digits than its factorization.

648830976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 648830976 is about 25472.1608035125. The cubic root of 648830976 is about 865.7194838040.

The spelling of 648830976 in words is "six hundred forty-eight million, eight hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1553 1632 2048 2176 3072 3106 3264 4096 4352 4659 6144 6212 6528 8192 8704 9318 12288 12424 13056 17408 18636 24576 24848 26112 26401 34816 37272 49696 52224 52802 69632 74544 79203 99392 104448 105604 139264 149088 158406 198784 208896 211208 298176 316812 397568 417792 422416 596352 633624 795136 844832 1192704 1267248 1590272 1689664 2385408 2534496 3180544 3379328 4770816 5068992 6361088 6758656 9541632 10137984 12722176 13517312 19083264 20275968 27034624 38166528 40551936 54069248 81103872 108138496 162207744 216276992 324415488 648830976