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56285700 = 22352373503
BaseRepresentation
bin1101011010110…
…1101000000100
310220220121110120
43112231220010
5103402120300
65330221540
71252264152
oct326555004
9126817416
1056285700
1129854309
1216a248b0
13b879463
1476923d2
154e1c3a0
hex35ada04

56285700 has 72 divisors (see below), whose sum is σ = 163614528. Its totient is φ = 14939520.

The previous prime is 56285659. The next prime is 56285717. The reversal of 56285700 is 758265.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111649 + ... + 112151.

It is an arithmetic number, because the mean of its divisors is an integer number (2272424).

Almost surely, 256285700 is an apocalyptic number.

56285700 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 56285700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81807264).

56285700 is an abundant number, since it is smaller than the sum of its proper divisors (107328828).

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

56285700 is a wasteful number, since it uses less digits than its factorization.

56285700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 56285700 is about 7502.3796224931. The cubic root of 56285700 is about 383.2357575633.

The spelling of 56285700 in words is "fifty-six million, two hundred eighty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 373 503 746 1006 1119 1492 1509 1865 2012 2238 2515 3018 3730 4476 5030 5595 6036 7460 7545 9325 10060 11190 12575 15090 18650 22380 25150 27975 30180 37300 37725 50300 55950 75450 111900 150900 187619 375238 562857 750476 938095 1125714 1876190 2251428 2814285 3752380 4690475 5628570 9380950 11257140 14071425 18761900 28142850 56285700