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56392848 = 243453821
BaseRepresentation
bin1101011100011…
…1110010010000
310221010001110000
43113013302100
5103414032343
65332410000
71253221431
oct327076220
9127101400
1056392848
1129917866
1216a76900
13b8b6165
1476bd488
154e3ded3
hex35c7c90

56392848 has 100 divisors (see below), whose sum is σ = 166499388. Its totient is φ = 18420480.

The previous prime is 56392841. The next prime is 56392867. The reversal of 56392848 is 84829365.

56392848 is a `hidden beast` number, since 5 + 639 + 2 + 8 + 4 + 8 = 666.

56392848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 28387584 = 5292^2 + 5328^2 .

It is a super-2 number, since 2×563928482 = 6360306611102208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56392841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68278 + ... + 69098.

Almost surely, 256392848 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 56392848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83249694).

56392848 is an abundant number, since it is smaller than the sum of its proper divisors (110106540).

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

56392848 is a wasteful number, since it uses less digits than its factorization.

56392848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 879 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 56392848 is about 7509.5171615757. The cubic root of 56392848 is about 383.4787850466.

The spelling of 56392848 in words is "fifty-six million, three hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 821 848 954 1272 1296 1431 1642 1908 2463 2544 2862 3284 3816 4293 4926 5724 6568 7389 7632 8586 9852 11448 13136 14778 17172 19704 22167 22896 29556 34344 39408 43513 44334 59112 66501 68688 87026 88668 118224 130539 133002 174052 177336 261078 266004 348104 354672 391617 522156 532008 696208 783234 1044312 1064016 1174851 1566468 2088624 2349702 3132936 3524553 4699404 6265872 7049106 9398808 14098212 18797616 28196424 56392848