Search a number
-
+
45682569 = 3329411423
BaseRepresentation
bin1010111001000…
…0111110001001
310011221220201000
42232100332021
543143320234
64311045213
71063203222
oct256207611
9104856630
1045682569
1123871a99
1213370809
13960620a
1460d2249
154025899
hex2b90f89

45682569 has 32 divisors (see below), whose sum is σ = 71769600. Its totient is φ = 28667520.

The previous prime is 45682547. The next prime is 45682573. The reversal of 45682569 is 96528654.

45682569 is a `hidden beast` number, since 4 + 5 + 6 + 82 + 569 = 666.

45682569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45682569 - 25 = 45682537 is a prime.

It is a super-2 number, since 2×456825692 = 4173794220879522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45682369) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31392 + ... + 32814.

It is an arithmetic number, because the mean of its divisors is an integer number (2242800).

Almost surely, 245682569 is an apocalyptic number.

It is an amenable number.

45682569 is a deficient number, since it is larger than the sum of its proper divisors (26087031).

45682569 is a wasteful number, since it uses less digits than its factorization.

45682569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 45682569 is about 6758.8881482090. Note that the first 3 decimals coincide. The cubic root of 45682569 is about 357.4787024984.

The spelling of 45682569 in words is "forty-five million, six hundred eighty-two thousand, five hundred sixty-nine".

Divisors: 1 3 9 27 29 41 87 123 261 369 783 1107 1189 1423 3567 4269 10701 12807 32103 38421 41267 58343 123801 175029 371403 525087 1114209 1575261 1691947 5075841 15227523 45682569