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630648 = 233219461
BaseRepresentation
bin10011001111101111000
31012001002100
42121331320
5130140043
621303400
75234424
oct2317570
91161070
10630648
113a08a7
12264b60
13191085
14125b84
15c6cd3
hex99f78

630648 has 48 divisors (see below), whose sum is σ = 1801800. Its totient is φ = 198720.

The previous prime is 630613. The next prime is 630659. The reversal of 630648 is 846036.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 630648.

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, 1138 + ... + 1598.

2630648 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 630648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900900).

630648 is an abundant number, since it is smaller than the sum of its proper divisors (1171152).

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

630648 is a wasteful number, since it uses less digits than its factorization.

630648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 630648 is about 794.1334900380. The cubic root of 630648 is about 85.7555705879.

The spelling of 630648 in words is "six hundred thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 461 684 922 1368 1383 1844 2766 3688 4149 5532 8298 8759 11064 16596 17518 26277 33192 35036 52554 70072 78831 105108 157662 210216 315324 630648