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56705925 = 3522371463
BaseRepresentation
bin1101100001010…
…0001110000101
310221200221220110
43120110032011
5104004042200
65343223233
71255664253
oct330241605
9127627813
1056705925
112a011001
1216ba7b19
13b995803
1477615d3
154ea1b50
hex3614385

56705925 has 48 divisors (see below), whose sum is σ = 99422208. Its totient is φ = 28459200.

The previous prime is 56705921. The next prime is 56705939. The reversal of 56705925 is 52950765.

56705925 is a nontrivial binomial coefficient, being equal to C(10650, 2).

It is not a de Polignac number, because 56705925 - 22 = 56705921 is a prime.

It is a Smith number, since the sum of its digits (39) 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 (56705921) 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 47 ways as a sum of consecutive naturals, for example, 122244 + ... + 122706.

It is an arithmetic number, because the mean of its divisors is an integer number (2071296).

Almost surely, 256705925 is an apocalyptic number.

56705925 is the 10649-th triangular number and also the 5325-th hexagonal number.

It is an amenable number.

56705925 is a deficient number, since it is larger than the sum of its proper divisors (42716283).

56705925 is a wasteful number, since it uses less digits than its factorization.

56705925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 56705925 is about 7530.3336579464. Note that the first 3 decimals coincide. The cubic root of 56705925 is about 384.1871307437.

It can be divided in two parts, 56705 and 925, that added together give a triangular number (57630 = T339).

The spelling of 56705925 in words is "fifty-six million, seven hundred five thousand, nine hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 71 75 115 213 345 355 463 575 1065 1389 1633 1725 1775 2315 4899 5325 6945 8165 10649 11575 24495 31947 32873 34725 40825 53245 98619 122475 159735 164365 266225 493095 756079 798675 821825 2268237 2465475 3780395 11341185 18901975 56705925