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630532768 = 25411134253
BaseRepresentation
bin100101100101010…
…010101010100000
31121221110101100111
4211211102222200
52242404022033
6142322301104
721424303645
oct4545225240
91557411314
10630532768
112a3a12668
121571b7794
13a0829218
145da53dcc
153a54e7cd
hex25952aa0

630532768 has 48 divisors (see below), whose sum is σ = 1283193576. Its totient is φ = 304783360.

The previous prime is 630532759. The next prime is 630532781. The reversal of 630532768 is 867235036.

It can be written as a sum of positive squares in 4 ways, for example, as 70358544 + 560174224 = 8388^2 + 23668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 630532768.

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, 146130 + ... + 150382.

Almost surely, 2630532768 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 630532768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641596788).

630532768 is an abundant number, since it is smaller than the sum of its proper divisors (652660808).

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

630532768 is a wasteful number, since it uses less digits than its factorization.

630532768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 630532768 is about 25110.4115458110. The cubic root of 630532768 is about 857.5034718387.

The spelling of 630532768 in words is "six hundred thirty million, five hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 82 113 164 226 328 452 656 904 1312 1808 3616 4253 4633 8506 9266 17012 18532 34024 37064 68048 74128 136096 148256 174373 348746 480589 697492 961178 1394984 1922356 2789968 3844712 5579936 7689424 15378848 19704149 39408298 78816596 157633192 315266384 630532768