Search a number
-
+
56575575 = 32527172113
BaseRepresentation
bin1101011111010…
…0011001010111
310221110100002200
43113310121113
5103440404300
65340335543
71254612240
oct327643127
9127410080
1056575575
1129a32081
1216b445b3
13b94b394
147729cc7
154e78200
hex35f4657

56575575 has 72 divisors (see below), whose sum is σ = 122679648. Its totient is φ = 24330240.

The previous prime is 56575567. The next prime is 56575583. The reversal of 56575575 is 57557565.

56575575 is a `hidden beast` number, since 5 + 6 + 5 + 75 + 575 = 666.

It is an interprime number because it is at equal distance from previous prime (56575567) and next prime (56575583).

It is not a de Polignac number, because 56575575 - 23 = 56575567 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 56575575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25719 + ... + 27831.

It is an arithmetic number, because the mean of its divisors is an integer number (1703884).

Almost surely, 256575575 is an apocalyptic number.

56575575 is an abundant number, since it is smaller than the sum of its proper divisors (66104073).

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

56575575 is a wasteful number, since it uses less digits than its factorization.

56575575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2145 counting only the distinct ones).

The product of its digits is 918750, while the sum is 45.

The square root of 56575575 is about 7521.6736834298. The cubic root of 56575575 is about 383.8925277039.

The spelling of 56575575 in words is "fifty-six million, five hundred seventy-five thousand, five hundred seventy-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 525 595 765 1071 1275 1575 1785 2113 2975 3825 5355 6339 8925 10565 14791 19017 26775 31695 35921 44373 52825 73955 95085 107763 133119 158475 179605 221865 251447 323289 369775 475425 538815 665595 754341 898025 1109325 1257235 1616445 2263023 2694075 3327975 3771705 6286175 8082225 11315115 18858525 56575575