Search a number
-
+
56444157 = 32711791031
BaseRepresentation
bin1101011101010…
…0010011111101
310221012122211100
43113110103331
5103422203112
65333443313
71253524140
oct327242375
9127178740
1056444157
1129952370
1216aa0539
13b903613
1476d4057
154e4e2dc
hex35d44fd

56444157 has 48 divisors (see below), whose sum is σ = 103034880. Its totient is φ = 28922400.

The previous prime is 56444057. The next prime is 56444173. The reversal of 56444157 is 75144465.

56444157 is a `hidden beast` number, since 5 + 644 + 4 + 1 + 5 + 7 = 666.

It is not a de Polignac number, because 56444157 - 220 = 55395581 is a prime.

It is a Smith number, since the sum of its digits (36) 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 (56444177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54232 + ... + 55262.

It is an arithmetic number, because the mean of its divisors is an integer number (2146560).

Almost surely, 256444157 is an apocalyptic number.

It is an amenable number.

56444157 is a deficient number, since it is larger than the sum of its proper divisors (46590723).

56444157 is a wasteful number, since it uses less digits than its factorization.

56444157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 56444157 is about 7512.9326497713. The cubic root of 56444157 is about 383.5950524417.

It can be divided in two parts, 5644 and 4157, that added together give a square (9801 = 992).

The spelling of 56444157 in words is "fifty-six million, four hundred forty-four thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 11 21 33 63 77 79 99 231 237 553 693 711 869 1031 1659 2607 3093 4977 6083 7217 7821 9279 11341 18249 21651 34023 54747 64953 79387 81449 102069 238161 244347 570143 714483 733041 895939 1710429 2687817 5131287 6271573 8063451 18814719 56444157