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56262141 = 3313792029
BaseRepresentation
bin1101011010011…
…1110111111101
310220212102011000
43112213313331
5103400342031
65325520513
71252135365
oct326476775
9126772130
1056262141
1129838641
1216a13139
13b86b810
1476879a5
154e153e6
hex35a7dfd

56262141 has 32 divisors (see below), whose sum is σ = 90944000. Its totient is φ = 34167744.

The previous prime is 56262139. The next prime is 56262161. The reversal of 56262141 is 14126265.

56262141 is a `hidden beast` number, since 562 + 62 + 1 + 41 = 666.

It is not a de Polignac number, because 56262141 - 21 = 56262139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56262161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26715 + ... + 28743.

It is an arithmetic number, because the mean of its divisors is an integer number (2842000).

Almost surely, 256262141 is an apocalyptic number.

It is an amenable number.

56262141 is a deficient number, since it is larger than the sum of its proper divisors (34681859).

56262141 is a wasteful number, since it uses less digits than its factorization.

56262141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2124 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 56262141 is about 7500.8093563295. The cubic root of 56262141 is about 383.1822809183.

The spelling of 56262141 in words is "fifty-six million, two hundred sixty-two thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 79 117 237 351 711 1027 2029 2133 3081 6087 9243 18261 26377 27729 54783 79131 160291 237393 480873 712179 1442619 2083783 4327857 6251349 18754047 56262141