Search a number
-
+
45484641 = 32131173223
BaseRepresentation
bin1010110110000…
…0101001100001
310011120212012100
42231200221201
543121002031
64302521013
71061420166
oct255405141
9104525170
1045484641
1123747314
1213296169
1395670b7
14608006d
153ed6de6
hex2b60a61

45484641 has 24 divisors (see below), whose sum is σ = 66882816. Its totient is φ = 29783520.

The previous prime is 45484633. The next prime is 45484679. The reversal of 45484641 is 14648454.

It is a happy number.

45484641 is a `hidden beast` number, since 4 + 5 + 4 + 8 + 4 + 641 = 666.

It is not a de Polignac number, because 45484641 - 23 = 45484633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45484596 and 45484605.

It is not an unprimeable number, because it can be changed into a prime (45484141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203856 + ... + 204078.

It is an arithmetic number, because the mean of its divisors is an integer number (2786784).

Almost surely, 245484641 is an apocalyptic number.

It is an amenable number.

45484641 is a deficient number, since it is larger than the sum of its proper divisors (21398175).

45484641 is a wasteful number, since it uses less digits than its factorization.

45484641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 530 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 45484641 is about 6744.2302006975. The cubic root of 45484641 is about 356.9616746749.

The spelling of 45484641 in words is "forty-five million, four hundred eighty-four thousand, six hundred forty-one".

Divisors: 1 3 9 131 173 223 393 519 669 1179 1557 2007 22663 29213 38579 67989 87639 115737 203967 262917 347211 5053849 15161547 45484641