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56645757 = 3372383157
BaseRepresentation
bin1101100000010…
…1100001111101
310221120220101000
43120011201331
5104000131012
65342040513
71255323660
oct330054175
9127526330
1056645757
1129a7a883
1216b79139
13b9742cc
1477476d7
154e8dddc
hex360587d

56645757 has 64 divisors (see below), whose sum is σ = 101928960. Its totient is φ = 30393792.

The previous prime is 56645731. The next prime is 56645761. The reversal of 56645757 is 75754665.

56645757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56645757 - 210 = 56644733 is a prime.

It is a super-2 number, since 2×566457572 = 6417483572206098, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56645767) 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 63 ways as a sum of consecutive naturals, for example, 360723 + ... + 360879.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 256645757 is an apocalyptic number.

It is an amenable number.

56645757 is a deficient number, since it is larger than the sum of its proper divisors (45283203).

56645757 is a wasteful number, since it uses less digits than its factorization.

56645757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 56645757 is about 7526.3375555445. The cubic root of 56645757 is about 384.0512016687.

The spelling of 56645757 in words is "fifty-six million, six hundred forty-five thousand, seven hundred fifty-seven".

Divisors: 1 3 7 9 21 23 27 63 69 83 157 161 189 207 249 471 483 581 621 747 1099 1413 1449 1743 1909 2241 3297 3611 4239 4347 5229 5727 9891 10833 13031 13363 15687 17181 25277 29673 32499 39093 40089 51543 75831 91217 97497 117279 120267 227493 273651 299713 351837 360801 682479 820953 899139 2097991 2462859 2697417 6293973 8092251 18881919 56645757