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56966448 = 24371115413
BaseRepresentation
bin1101100101001…
…1110100110000
310222012012021110
43121103310300
5104040411243
65352553320
71261130640
oct331236460
9128165243
1056966448
112a179810
12170b2840
13ba57276
1477cc520
155003e33
hex3653d30

56966448 has 80 divisors (see below), whose sum is σ = 183488256. Its totient is φ = 14795520.

The previous prime is 56966419. The next prime is 56966449. The reversal of 56966448 is 84466965.

It is a happy number.

56966448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 56966397 and 56966406.

It is not an unprimeable number, because it can be changed into a prime (56966449) 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 15 ways as a sum of consecutive naturals, for example, 4011 + ... + 11402.

Almost surely, 256966448 is an apocalyptic number.

It is an amenable number.

56966448 is an abundant number, since it is smaller than the sum of its proper divisors (126521808).

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

56966448 is a wasteful number, since it uses less digits than its factorization.

56966448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15442 (or 15436 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 56966448 is about 7547.6120727022. The cubic root of 56966448 is about 384.7745866634.

The spelling of 56966448 in words is "fifty-six million, nine hundred sixty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 15413 30826 46239 61652 92478 107891 123304 169543 184956 215782 246608 323673 339086 369912 431564 508629 647346 678172 739824 863128 1017258 1186801 1294692 1356344 1726256 2034516 2373602 2589384 2712688 3560403 4069032 4747204 5178768 7120806 8138064 9494408 14241612 18988816 28483224 56966448