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56274912 = 25357237
BaseRepresentation
bin1101011010101…
…0111111100000
310220220001200000
43112222333200
5103401244122
65330100000
71252220541
oct326527740
9126801600
1056274912
11298471a1
1216a1a600
13b874585
14768c4c8
154e190ac
hex35aafe0

56274912 has 72 divisors (see below), whose sum is σ = 165981816. Its totient is φ = 18755712.

The previous prime is 56274893. The next prime is 56274929. The reversal of 56274912 is 21947265.

56274912 is a `hidden beast` number, since 562 + 7 + 4 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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, 4158 + ... + 11394.

It is an arithmetic number, because the mean of its divisors is an integer number (2305303).

Almost surely, 256274912 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 56274912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82990908).

56274912 is an abundant number, since it is smaller than the sum of its proper divisors (109706904).

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

56274912 is an equidigital number, since it uses as much as digits as its factorization.

56274912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7242 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 56274912 is about 7501.6606161569. The cubic root of 56274912 is about 383.2112717021.

The spelling of 56274912 in words is "fifty-six million, two hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7237 7776 14474 21711 28948 43422 57896 65133 86844 115792 130266 173688 195399 231584 260532 347376 390798 521064 586197 694752 781596 1042128 1172394 1563192 1758591 2084256 2344788 3126384 3517182 4689576 6252768 7034364 9379152 14068728 18758304 28137456 56274912