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56794752 = 273277043
BaseRepresentation
bin1101100010100…
…1111010000000
310221212110202100
43120221322000
5104014413002
65345150400
71256514240
oct330517200
9127773670
1056794752
112a071813
121702b400
13b9c7081
147785b20
154ebd11c
hex3629e80

56794752 has 96 divisors (see below), whose sum is σ = 186806880. Its totient is φ = 16224768.

The previous prime is 56794733. The next prime is 56794769. The reversal of 56794752 is 25749765.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 56794698 and 56794707.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4543 + ... + 11585.

It is an arithmetic number, because the mean of its divisors is an integer number (1945905).

Almost surely, 256794752 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 56794752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93403440).

56794752 is an abundant number, since it is smaller than the sum of its proper divisors (130012128).

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

56794752 is a wasteful number, since it uses less digits than its factorization.

56794752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7055 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 56794752 is about 7536.2292958747. The cubic root of 56794752 is about 384.3876294085.

The spelling of 56794752 in words is "fifty-six million, seven hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 7043 8064 14086 21129 28172 42258 49301 56344 63387 84516 98602 112688 126774 147903 169032 197204 225376 253548 295806 338064 394408 443709 450752 507096 591612 676128 788816 887418 901504 1014192 1183224 1352256 1577632 1774836 2028384 2366448 2704512 3155264 3549672 4056768 4732896 6310528 7099344 8113536 9465792 14198688 18931584 28397376 56794752