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631364208 = 24379167997
BaseRepresentation
bin100101101000011…
…101101001110000
31122000000121212120
4211220131221300
52243112123313
6142352154240
721434335656
oct4550355160
91560017776
10631364208
112a4430302
12157538980
13a0a5a7b7
145dbccdd6
153a665d23
hex25a1da70

631364208 has 80 divisors (see below), whose sum is σ = 1663226880. Its totient is φ = 206339328.

The previous prime is 631364203. The next prime is 631364233. The reversal of 631364208 is 802463136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631364203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632766 + ... + 633762.

It is an arithmetic number, because the mean of its divisors is an integer number (20790336).

Almost surely, 2631364208 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 631364208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831613440).

631364208 is an abundant number, since it is smaller than the sum of its proper divisors (1031862672).

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

631364208 is a wasteful number, since it uses less digits than its factorization.

631364208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 631364208 is about 25126.9617741581. The cubic root of 631364208 is about 857.8802164870.

The spelling of 631364208 in words is "six hundred thirty-one million, three hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 167 237 316 334 474 501 632 668 948 997 1002 1264 1336 1896 1994 2004 2672 2991 3792 3988 4008 5982 7976 8016 11964 13193 15952 23928 26386 39579 47856 52772 78763 79158 105544 157526 158316 166499 211088 236289 315052 316632 332998 472578 499497 630104 633264 665996 945156 998994 1260208 1331992 1890312 1997988 2663984 3780624 3995976 7991952 13153421 26306842 39460263 52613684 78920526 105227368 157841052 210454736 315682104 631364208