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56468060 = 225112231151
BaseRepresentation
bin1101011101101…
…0001001011100
310221020212121122
43113122021130
5103423434220
65334150112
71253653625
oct327321134
9127225548
1056468060
1129969320
1216ab2338
13b91146c
1476dca4c
154e56425
hex35da25c

56468060 has 48 divisors (see below), whose sum is σ = 130056192. Its totient is φ = 20424000.

The previous prime is 56468053. The next prime is 56468063. The reversal of 56468060 is 6086465.

It is a self number, because there is not a number n which added to its sum of digits gives 56468060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56468063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48485 + ... + 49635.

It is an arithmetic number, because the mean of its divisors is an integer number (2709504).

Almost surely, 256468060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56468060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

56468060 is an abundant number, since it is smaller than the sum of its proper divisors (73588132).

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

56468060 is a wasteful number, since it uses less digits than its factorization.

56468060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 56468060 is about 7514.5232716387. The cubic root of 56468060 is about 383.6491931418.

The spelling of 56468060 in words is "fifty-six million, four hundred sixty-eight thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1115 1151 2230 2302 2453 4460 4604 4906 5755 9812 11510 12265 12661 23020 24530 25322 49060 50644 63305 126610 253220 256673 513346 1026692 1283365 2566730 2823403 5133460 5646806 11293612 14117015 28234030 56468060