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56477060 = 22517433863
BaseRepresentation
bin1101011101110…
…0010110000100
310221021022221222
43113130112010
5103424231220
65334255512
71254022103
oct327342604
9127238858
1056477060
1129975062
1216ab7598
13b9155a3
14770203a
154e58e25
hex35dc584

56477060 has 48 divisors (see below), whose sum is σ = 128532096. Its totient is φ = 20762112.

The previous prime is 56477051. The next prime is 56477081. The reversal of 56477060 is 6077465.

56477060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56477060.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12689 + ... + 16551.

It is an arithmetic number, because the mean of its divisors is an integer number (2677752).

Almost surely, 256477060 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 56477060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64266048).

56477060 is an abundant number, since it is smaller than the sum of its proper divisors (72055036).

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

56477060 is a wasteful number, since it uses less digits than its factorization.

56477060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 56477060 is about 7515.1220881633. The cubic root of 56477060 is about 383.6695743350.

The spelling of 56477060 in words is "fifty-six million, four hundred seventy-seven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3655 3863 7310 7726 14620 15452 19315 38630 65671 77260 131342 166109 262684 328355 332218 656710 664436 830545 1313420 1661090 2823853 3322180 5647706 11295412 14119265 28238530 56477060