Search a number
-
+
56490560 = 265725219
BaseRepresentation
bin1101011101111…
…1101001000000
310221022000110222
43113133221000
5103430144220
65334442212
71254106340
oct327375100
9127260428
1056490560
1129984215
1216b03368
13b91b789
147706d20
154e5ce25
hex35dfa40

56490560 has 56 divisors (see below), whose sum is σ = 153741120. Its totient is φ = 19367424.

The previous prime is 56490557. The next prime is 56490571. The reversal of 56490560 is 6509465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×564905602 = 6382366738227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 56490560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10370 + ... + 14849.

Almost surely, 256490560 is an apocalyptic number.

It is an amenable number.

56490560 is an abundant number, since it is smaller than the sum of its proper divisors (97250560).

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

56490560 is a wasteful number, since it uses less digits than its factorization.

56490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25243 (or 25233 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 56490560 is about 7516.0202234959. The cubic root of 56490560 is about 383.7001420653.

The spelling of 56490560 in words is "fifty-six million, four hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 25219 50438 100876 126095 176533 201752 252190 353066 403504 504380 706132 807008 882665 1008760 1412264 1614016 1765330 2017520 2824528 3530660 4035040 5649056 7061320 8070080 11298112 14122640 28245280 56490560