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56298024 = 2333972687
BaseRepresentation
bin1101011011000…
…0101000101000
310220221020101000
43112300220220
5103403014044
65330355000
71252345116
oct326605050
9126836330
1056298024
11298625a2
1216a2ba60
13b881c53
147696ab6
154e20d69
hex35b0a28

56298024 has 64 divisors (see below), whose sum is σ = 158054400. Its totient is φ = 18565632.

The previous prime is 56298017. The next prime is 56298029. The reversal of 56298024 is 42089265.

It is a happy number.

56298024 is a `hidden beast` number, since 5 + 629 + 8 + 0 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56298024.

It is not an unprimeable number, because it can be changed into a prime (56298029) 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, 19609 + ... + 22295.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 256298024 is an apocalyptic number.

56298024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56298024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79027200).

56298024 is an abundant number, since it is smaller than the sum of its proper divisors (101756376).

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

56298024 is a wasteful number, since it uses less digits than its factorization.

56298024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56298024 is about 7503.2009169420. The cubic root of 56298024 is about 383.2637259035.

The spelling of 56298024 in words is "fifty-six million, two hundred ninety-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 2687 3492 5238 5374 6984 8061 10476 10748 16122 20952 21496 24183 32244 48366 64488 72549 96732 145098 193464 260639 290196 521278 580392 781917 1042556 1563834 2085112 2345751 3127668 4691502 6255336 7037253 9383004 14074506 18766008 28149012 56298024