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630046976 = 2813312197
BaseRepresentation
bin100101100011011…
…100000100000000
31121220112200222012
4211203130010000
52242243000401
6142304032052
721420211436
oct4543340400
91556480865
10630046976
112a3710689
12157002628
13a06b9080
145d968d56
153a4a58bb
hex258dc100

630046976 has 108 divisors (see below), whose sum is σ = 1406576556. Its totient is φ = 279982080.

The previous prime is 630046957. The next prime is 630046993. The reversal of 630046976 is 679640036.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 393625600 + 236421376 = 19840^2 + 15376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3198110 + ... + 3198306.

It is an arithmetic number, because the mean of its divisors is an integer number (13023857).

Almost surely, 2630046976 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 630046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703288278).

630046976 is an abundant number, since it is smaller than the sum of its proper divisors (776529580).

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

630046976 is a wasteful number, since it uses less digits than its factorization.

630046976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 630046976 is about 25100.7365628979. The cubic root of 630046976 is about 857.2831949687.

The spelling of 630046976 in words is "six hundred thirty million, forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 197 208 248 256 394 403 416 496 788 806 832 961 992 1576 1612 1664 1922 1984 2561 3152 3224 3328 3844 3968 5122 6107 6304 6448 7688 7936 10244 12214 12493 12608 12896 15376 20488 24428 24986 25216 25792 30752 40976 48856 49972 50432 51584 61504 79391 81952 97712 99944 103168 123008 158782 163904 189317 195424 199888 246016 317564 327808 378634 390848 399776 635128 655616 757268 781696 799552 1270256 1514536 1563392 1599104 2461121 2540512 3029072 3198208 4922242 5081024 6058144 9844484 10162048 12116288 19688968 20324096 24232576 39377936 48465152 78755872 157511744 315023488 630046976