Search a number
-
+
56837235 = 3571323203
BaseRepresentation
bin1101100011010…
…0010001110011
310221221122000210
43120310101303
5104022242420
65350115203
71260052140
oct330642163
9127848023
1056837235
112a0a0724
121704bb03
13ba10500
1477973c7
154eca9e0
hex3634473

56837235 has 48 divisors (see below), whose sum is σ = 112575744. Its totient is φ = 23976576.

The previous prime is 56837219. The next prime is 56837251. The reversal of 56837235 is 53273865.

56837235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56837219) and next prime (56837251).

It is not a de Polignac number, because 56837235 - 24 = 56837219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 56837193 and 56837202.

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 47 ways as a sum of consecutive naturals, for example, 16144 + ... + 19346.

It is an arithmetic number, because the mean of its divisors is an integer number (2345328).

Almost surely, 256837235 is an apocalyptic number.

56837235 is a deficient number, since it is larger than the sum of its proper divisors (55738509).

56837235 is a wasteful number, since it uses less digits than its factorization.

56837235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3231 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 56837235 is about 7539.0473536117. The cubic root of 56837235 is about 384.4834473561.

The spelling of 56837235 in words is "fifty-six million, eight hundred thirty-seven thousand, two hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 169 195 273 455 507 845 1183 1365 2535 3203 3549 5915 9609 16015 17745 22421 41639 48045 67263 112105 124917 208195 291473 336315 541307 624585 874419 1457365 1623921 2706535 3789149 4372095 8119605 11367447 18945745 56837235