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56105253 = 3217366701
BaseRepresentation
bin1101011000000…
…1100100100101
310220120102221100
43112001210211
5103330332003
65322310313
71250613111
oct326014445
9126512840
1056105253
1129740786
1216958399
13b815299
147646741
154dd3ba3
hex3581925

56105253 has 12 divisors (see below), whose sum is σ = 85808268. Its totient is φ = 35203200.

The previous prime is 56105249. The next prime is 56105267. The reversal of 56105253 is 35250165.

56105253 is a `hidden beast` number, since 561 + 0 + 52 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 4524129 = 7182^2 + 2127^2 .

It is not a de Polignac number, because 56105253 - 22 = 56105249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56105213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183198 + ... + 183503.

It is an arithmetic number, because the mean of its divisors is an integer number (7150689).

Almost surely, 256105253 is an apocalyptic number.

It is an amenable number.

56105253 is a deficient number, since it is larger than the sum of its proper divisors (29703015).

56105253 is a wasteful number, since it uses less digits than its factorization.

56105253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366724 (or 366721 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56105253 is about 7490.3439840905. The cubic root of 56105253 is about 382.8257790968.

The spelling of 56105253 in words is "fifty-six million, one hundred five thousand, two hundred fifty-three".

Divisors: 1 3 9 17 51 153 366701 1100103 3300309 6233917 18701751 56105253