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56465604 = 22321329281
BaseRepresentation
bin1101011101100…
…1100011000100
310221020202020200
43113121203010
5103423344404
65334130500
71253643516
oct327314304
9127222220
1056465604
1129967498
1216ab0a30
13b910300
1476dbbb6
154e55839
hex35d98c4

56465604 has 54 divisors (see below), whose sum is σ = 154573146. Its totient is φ = 17372160.

The previous prime is 56465593. The next prime is 56465609. The reversal of 56465604 is 40656465.

It is a happy number.

56465604 is a `hidden beast` number, since 5 + 6 + 46 + 5 + 604 = 666.

56465604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2883204 + 53582400 = 1698^2 + 7320^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56465609) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1444 + ... + 10724.

Almost surely, 256465604 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 56465604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77286573).

56465604 is an abundant number, since it is smaller than the sum of its proper divisors (98107542).

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

56465604 is a wasteful number, since it uses less digits than its factorization.

56465604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56465604 is about 7514.3598529748. The cubic root of 56465604 is about 383.6436309646.

The spelling of 56465604 in words is "fifty-six million, four hundred sixty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 9281 18562 27843 37124 55686 83529 111372 120653 167058 241306 334116 361959 482612 723918 1085877 1447836 1568489 2171754 3136978 4343508 4705467 6273956 9410934 14116401 18821868 28232802 56465604