Search a number
-
+
56419264 = 261180141
BaseRepresentation
bin1101011100111…
…0001111000000
310221011101200101
43113032033000
5103420404024
65333132144
71253361436
oct327161700
9127141611
1056419264
11299356a0
1216a8a054
13b8c51a5
1476c8d56
154e46c44
hex35ce3c0

56419264 has 28 divisors (see below), whose sum is σ = 122136408. Its totient is φ = 25644800.

The previous prime is 56419247. The next prime is 56419271. The reversal of 56419264 is 46291465.

56419264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 39367 + ... + 40774.

Almost surely, 256419264 is an apocalyptic number.

It is an amenable number.

56419264 is an abundant number, since it is smaller than the sum of its proper divisors (65717144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56419264 is a wasteful number, since it uses less digits than its factorization.

56419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80164 (or 80154 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 56419264 is about 7511.2757904367. The cubic root of 56419264 is about 383.5386531246.

The spelling of 56419264 in words is "fifty-six million, four hundred nineteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 80141 160282 320564 641128 881551 1282256 1763102 2564512 3526204 5129024 7052408 14104816 28209632 56419264