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56849472 = 2633167197
BaseRepresentation
bin1101100011011…
…1010001000000
310221222020211000
43120313101000
5104023140342
65350252000
71260132621
oct330672100
9127866730
1056849472
112a0a9939
1217057000
13ba15c54
14779ba48
154ece44c
hex3637440

56849472 has 112 divisors (see below), whose sum is σ = 168981120. Its totient is φ = 18740736.

The previous prime is 56849447. The next prime is 56849473. The reversal of 56849472 is 27494865.

It is a happy number.

56849472 is a `hidden beast` number, since 568 + 49 + 47 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (56849473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288478 + ... + 288674.

It is an arithmetic number, because the mean of its divisors is an integer number (1508760).

Almost surely, 256849472 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 56849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490560).

56849472 is an abundant number, since it is smaller than the sum of its proper divisors (112131648).

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

56849472 is a wasteful number, since it uses less digits than its factorization.

56849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 56849472 is about 7539.8588846211. The cubic root of 56849472 is about 384.5110383436.

The spelling of 56849472 in words is "fifty-six million, eight hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 167 192 197 216 288 334 394 432 501 576 591 668 788 864 1002 1182 1336 1503 1576 1728 1773 2004 2364 2672 3006 3152 3546 4008 4509 4728 5319 5344 6012 6304 7092 8016 9018 9456 10638 10688 12024 12608 14184 16032 18036 18912 21276 24048 28368 32064 32899 36072 37824 42552 48096 56736 65798 72144 85104 96192 98697 113472 131596 144288 170208 197394 263192 288576 296091 340416 394788 526384 592182 789576 888273 1052768 1184364 1579152 1776546 2105536 2368728 3158304 3553092 4737456 6316608 7106184 9474912 14212368 18949824 28424736 56849472