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631245456 = 243237257461
BaseRepresentation
bin100101101000000…
…000101010010000
31121222210120222100
4211220000222100
52243044323311
6142345440400
721433332522
oct4550005220
91558716870
10631245456
112a435a066
121574a0100
13a0a1872a
145db9ba12
153a640a56
hex25a00a90

631245456 has 120 divisors (see below), whose sum is σ = 1825367544. Its totient is φ = 203489280.

The previous prime is 631245427. The next prime is 631245457. The reversal of 631245456 is 654542136.

It can be written as a sum of positive squares in 4 ways, for example, as 361760400 + 269485056 = 19020^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 631245456.

It is not an unprimeable number, because it can be changed into a prime (631245457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369066 + ... + 1369526.

Almost surely, 2631245456 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 631245456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912683772).

631245456 is an abundant number, since it is smaller than the sum of its proper divisors (1194122088).

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

631245456 is a wasteful number, since it uses less digits than its factorization.

631245456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 631245456 is about 25124.5986236596. The cubic root of 631245456 is about 857.8264274705.

The spelling of 631245456 in words is "six hundred thirty-one million, two hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 257 296 333 444 461 514 592 666 771 888 922 1028 1332 1383 1542 1776 1844 2056 2313 2664 2766 3084 3688 4112 4149 4626 5328 5532 6168 7376 8298 9252 9509 11064 12336 16596 17057 18504 19018 22128 28527 33192 34114 37008 38036 51171 57054 66384 68228 76072 85581 102342 114108 118477 136456 152144 153513 171162 204684 228216 236954 272912 307026 342324 355431 409368 456432 473908 614052 684648 710862 818736 947816 1066293 1228104 1369296 1421724 1895632 2132586 2456208 2843448 4265172 4383649 5686896 8530344 8767298 13150947 17060688 17534596 26301894 35069192 39452841 52603788 70138384 78905682 105207576 157811364 210415152 315622728 631245456