Search a number
-
+
56464704 = 2632167587
BaseRepresentation
bin1101011101100…
…1010101000000
310221020201000100
43113121111000
5103423332304
65334122400
71253641062
oct327312500
9127221010
1056464704
112996684a
1216ab0400
13b90ca8a
1476db732
154e55439
hex35d9540

56464704 has 84 divisors (see below), whose sum is σ = 163092384. Its totient is φ = 18676992.

The previous prime is 56464679. The next prime is 56464717. The reversal of 56464704 is 40746465.

56464704 is a `hidden beast` number, since 5 + 6 + 4 + 647 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95899 + ... + 96485.

It is an arithmetic number, because the mean of its divisors is an integer number (1941576).

Almost surely, 256464704 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 56464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81546192).

56464704 is an abundant number, since it is smaller than the sum of its proper divisors (106627680).

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

56464704 is a wasteful number, since it uses less digits than its factorization.

56464704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 56464704 is about 7514.2999673955. The cubic root of 56464704 is about 383.6415926671.

The spelling of 56464704 in words is "fifty-six million, four hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 167 192 288 334 501 576 587 668 1002 1174 1336 1503 1761 2004 2348 2672 3006 3522 4008 4696 5283 5344 6012 7044 8016 9392 10566 10688 12024 14088 16032 18784 21132 24048 28176 32064 37568 42264 48096 56352 84528 96192 98029 112704 169056 196058 294087 338112 392116 588174 784232 882261 1176348 1568464 1764522 2352696 3136928 3529044 4705392 6273856 7058088 9410784 14116176 18821568 28232352 56464704