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56245600 = 2552167421
BaseRepresentation
bin1101011010001…
…1110101100000
310220211120110101
43112203311200
5103344324400
65325312144
71252036225
oct326436540
9126746411
1056245600
1129827174
1216a05654
13b864128
14768194c
154e1056a
hex35a3d60

56245600 has 72 divisors (see below), whose sum is σ = 138459888. Its totient is φ = 22310400.

The previous prime is 56245589. The next prime is 56245601. The reversal of 56245600 is 654265.

56245600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56245601) 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 11 ways as a sum of consecutive naturals, for example, 133390 + ... + 133810.

It is an arithmetic number, because the mean of its divisors is an integer number (1923054).

Almost surely, 256245600 is an apocalyptic number.

56245600 is a gapful number since it is divisible by the number (50) 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 56245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69229944).

56245600 is an abundant number, since it is smaller than the sum of its proper divisors (82214288).

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

56245600 is a wasteful number, since it uses less digits than its factorization.

56245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 56245600 is about 7499.7066609301. The cubic root of 56245600 is about 383.1447255318.

Adding to 56245600 its reverse (654265), we get a palindrome (56899865).

The spelling of 56245600 in words is "fifty-six million, two hundred forty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 167 200 334 400 421 668 800 835 842 1336 1670 1684 2105 2672 3340 3368 4175 4210 5344 6680 6736 8350 8420 10525 13360 13472 16700 16840 21050 26720 33400 33680 42100 66800 67360 70307 84200 133600 140614 168400 281228 336800 351535 562456 703070 1124912 1406140 1757675 2249824 2812280 3515350 5624560 7030700 11249120 14061400 28122800 56245600