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56520800 = 2552710093
BaseRepresentation
bin1101011110011…
…1000001100000
310221100112221222
43113213001200
5103432131200
65335234212
71254263450
oct327470140
9127315858
1056520800
11299a4a06
1216b18968
13b92c47b
147713d60
154e66d85
hex35e7060

56520800 has 72 divisors (see below), whose sum is σ = 157708656. Its totient is φ = 19376640.

The previous prime is 56520799. The next prime is 56520809. The reversal of 56520800 is 802565.

It is a self number, because there is not a number n which added to its sum of digits gives 56520800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56520809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554 + ... + 10646.

It is an arithmetic number, because the mean of its divisors is an integer number (2190398).

Almost surely, 256520800 is an apocalyptic number.

56520800 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 56520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78854328).

56520800 is an abundant number, since it is smaller than the sum of its proper divisors (101187856).

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

56520800 is a wasteful number, since it uses less digits than its factorization.

56520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 56520800 is about 7518.0316572890. The cubic root of 56520800 is about 383.7685961131.

The spelling of 56520800 in words is "fifty-six million, five hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 10093 20186 40372 50465 70651 80744 100930 141302 161488 201860 252325 282604 322976 353255 403720 504650 565208 706510 807440 1009300 1130416 1413020 1614880 1766275 2018600 2260832 2826040 3532550 4037200 5652080 7065100 8074400 11304160 14130200 28260400 56520800