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56477064 = 2337379887
BaseRepresentation
bin1101011101110…
…0010110001000
310221021022222010
43113130112020
5103424231224
65334255520
71254022110
oct327342610
9127238863
1056477064
1129975066
1216ab75a0
13b9155a7
147702040
154e58e29
hex35dc588

56477064 has 64 divisors (see below), whose sum is σ = 161971200. Its totient is φ = 16075584.

The previous prime is 56477051. The next prime is 56477081. The reversal of 56477064 is 46077465.

56477064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 63229 + ... + 64115.

It is an arithmetic number, because the mean of its divisors is an integer number (2530800).

Almost surely, 256477064 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 56477064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80985600).

56477064 is an abundant number, since it is smaller than the sum of its proper divisors (105494136).

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

56477064 is a wasteful number, since it uses less digits than its factorization.

56477064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 56477064 is about 7515.1223542934. The cubic root of 56477064 is about 383.6695833928.

The spelling of 56477064 in words is "fifty-six million, four hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 379 758 887 1137 1516 1774 2274 2653 2661 3032 3548 4548 5306 5322 6209 7096 7959 9096 10612 10644 12418 15918 18627 21224 21288 24836 31836 37254 49672 63672 74508 149016 336173 672346 1008519 1344692 2017038 2353211 2689384 4034076 4706422 7059633 8068152 9412844 14119266 18825688 28238532 56477064