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55936465 = 5132531249
BaseRepresentation
bin1101010101100…
…0010111010001
310220020212101221
43111120113101
5103304431330
65314525041
71246311034
oct325302721
9126225357
1055936465
1129635992
1216896781
13b786500
14760101b
154d9db7a
hex35585d1

55936465 has 24 divisors (see below), whose sum is σ = 74115000. Its totient is φ = 40495104.

The previous prime is 55936459. The next prime is 55936471. The reversal of 55936465 is 56463955.

55936465 = 52882 + 52892.

55936465 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 (55936459) and next prime (55936471).

It can be written as a sum of positive squares in 12 ways, for example, as 27973521 + 27962944 = 5289^2 + 5288^2 .

It is not a de Polignac number, because 55936465 - 23 = 55936457 is a prime.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44161 + ... + 45409.

It is an arithmetic number, because the mean of its divisors is an integer number (3088125).

Almost surely, 255936465 is an apocalyptic number.

55936465 is the 5289-th centered square number.

It is an amenable number.

55936465 is a deficient number, since it is larger than the sum of its proper divisors (18178535).

55936465 is a wasteful number, since it uses less digits than its factorization.

55936465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1320 counting only the distinct ones).

The product of its digits is 486000, while the sum is 43.

The square root of 55936465 is about 7479.0684580367. The cubic root of 55936465 is about 382.4414936074.

Adding to 55936465 its product of digits (486000), we get a palindrome (56422465).

The spelling of 55936465 in words is "fifty-five million, nine hundred thirty-six thousand, four hundred sixty-five".

Divisors: 1 5 13 53 65 169 265 689 845 1249 3445 6245 8957 16237 44785 66197 81185 211081 330985 860561 1055405 4302805 11187293 55936465