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630427968 = 26331372663
BaseRepresentation
bin100101100100111…
…001000101000000
31121221021001121000
4211210321011000
52242342143333
6142320132000
721423356262
oct4544710500
91557231530
10630427968
112a3950955
12157167000
13a07c0601
145da27b32
153a52d713
hex25939140

630427968 has 112 divisors (see below), whose sum is σ = 1867570560. Its totient is φ = 208530432.

The previous prime is 630427943. The next prime is 630427969. The reversal of 630427968 is 869724036.

630427968 is a `hidden beast` number, since 630 + 4 + 2 + 7 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630427969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235405 + ... + 238067.

Almost surely, 2630427968 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 630427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933785280).

630427968 is an abundant number, since it is smaller than the sum of its proper divisors (1237142592).

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

630427968 is a wasteful number, since it uses less digits than its factorization.

630427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 630427968 is about 25108.3246752944. The cubic root of 630427968 is about 857.4559610416.

The spelling of 630427968 in words is "six hundred thirty million, four hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 137 144 192 216 274 288 411 432 548 576 822 864 1096 1233 1644 1728 2192 2466 2663 3288 3699 4384 4932 5326 6576 7398 7989 8768 9864 10652 13152 14796 15978 19728 21304 23967 26304 29592 31956 39456 42608 47934 59184 63912 71901 78912 85216 95868 118368 127824 143802 170432 191736 236736 255648 287604 364831 383472 511296 575208 729662 766944 1094493 1150416 1459324 1533888 2188986 2300832 2918648 3283479 4377972 4601664 5837296 6566958 8755944 9850437 11674592 13133916 17511888 19700874 23349184 26267832 35023776 39401748 52535664 70047552 78803496 105071328 157606992 210142656 315213984 630427968