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56542200 = 233521113659
BaseRepresentation
bin1101011110110…
…0001111111000
310221101122022120
43113230033320
5103433322300
65335521240
71254413031
oct327541770
9127348276
1056542200
1129a09aa0
1216b29220
13b939130
14771ba88
154e6d3a0
hex35ec3f8

56542200 has 192 divisors, whose sum is σ = 206236800. Its totient is φ = 12633600.

The previous prime is 56542193. The next prime is 56542217. The reversal of 56542200 is 224565.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85471 + ... + 86129.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 256542200 is an apocalyptic number.

56542200 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 56542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

56542200 is an abundant number, since it is smaller than the sum of its proper divisors (149694600).

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

56542200 is a wasteful number, since it uses less digits than its factorization.

56542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 56542200 is about 7519.4547674682. The cubic root of 56542200 is about 383.8170243713.

Adding to 56542200 its reverse (224565), we get a palindrome (56766765).

The spelling of 56542200 in words is "fifty-six million, five hundred forty-two thousand, two hundred".