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56801040 = 2435311761
BaseRepresentation
bin1101100010101…
…1011100010000
310221212210101020
43120223130100
5104020113130
65345235440
71256541462
oct330533420
9127783336
1056801040
112a07650a
1217032b80
13b9c9baa
147788132
154ebee10
hex362b710

56801040 has 80 divisors (see below), whose sum is σ = 176881536. Its totient is φ = 15078400.

The previous prime is 56801033. The next prime is 56801093. The reversal of 56801040 is 4010865.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56801040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74260 + ... + 75020.

Almost surely, 256801040 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 56801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88440768).

56801040 is an abundant number, since it is smaller than the sum of its proper divisors (120080496).

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

56801040 is a wasteful number, since it uses less digits than its factorization.

56801040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 56801040 is about 7536.6464690869. The cubic root of 56801040 is about 384.4018146407.

The spelling of 56801040 in words is "fifty-six million, eight hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 761 933 1244 1522 1555 1866 2283 2488 3044 3110 3732 3805 4566 4665 4976 6088 6220 7464 7610 9132 9330 11415 12176 12440 14928 15220 18264 18660 22830 24880 30440 36528 37320 45660 60880 74640 91320 182640 236671 473342 710013 946684 1183355 1420026 1893368 2366710 2840052 3550065 3786736 4733420 5680104 7100130 9466840 11360208 14200260 18933680 28400520 56801040