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56742516 = 22322576133
BaseRepresentation
bin1101100001110…
…1001001110100
310221202211002200
43120131021310
5104011230031
65344104500
71256206035
oct330351164
9127684080
1056742516
112a036546
1217005130
13b9a936c
147770a8c
154eac8e6
hex361d274

56742516 has 36 divisors (see below), whose sum is σ = 144014052. Its totient is φ = 18837504.

The previous prime is 56742479. The next prime is 56742533. The reversal of 56742516 is 61524765.

It is a happy number.

56742516 is a `hidden beast` number, since 567 + 42 + 51 + 6 = 666.

56742516 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 2 ways, for example, as 55442916 + 1299600 = 7446^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6186 + ... + 12318.

Almost surely, 256742516 is an apocalyptic number.

It is an amenable number.

56742516 is an abundant number, since it is smaller than the sum of its proper divisors (87271536).

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

56742516 is a wasteful number, since it uses less digits than its factorization.

56742516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6395 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 56742516 is about 7532.7628397554. The cubic root of 56742516 is about 384.2697486163.

The spelling of 56742516 in words is "fifty-six million, seven hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 6133 9252 12266 18399 24532 36798 55197 73596 110394 220788 1576181 3152362 4728543 6304724 9457086 14185629 18914172 28371258 56742516