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630013248 = 26331931619
BaseRepresentation
bin100101100011010…
…011110101000000
31121220110222201000
4211203103311000
52242240410443
6142303212000
721420011214
oct4543236500
91556428630
10630013248
112a3698307
12156ba7000
13a06a6907
145d95a944
153a49a8d3
hex258d3d40

630013248 has 224 divisors, whose sum is σ = 2015744000. Its totient is φ = 192222720.

The previous prime is 630013207. The next prime is 630013259. The reversal of 630013248 is 842310036.

It is a happy number.

630013248 is a `hidden beast` number, since 630 + 0 + 1 + 3 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017483 + ... + 1018101.

Almost surely, 2630013248 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 630013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007872000).

630013248 is an abundant number, since it is smaller than the sum of its proper divisors (1385730752).

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

630013248 is a wasteful number, since it uses less digits than its factorization.

630013248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 674 counting only the distinct ones).

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

The square root of 630013248 is about 25100.0647011118. The cubic root of 630013248 is about 857.2678971868.

The spelling of 630013248 in words is "six hundred thirty million, thirteen thousand, two hundred forty-eight".