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45605025 = 35527507
BaseRepresentation
bin1010110111111…
…0000010100001
310011210222100000
42231332002201
543133330100
64305250213
71062431154
oct255760241
9104728300
1045605025
1123819804
1213333969
1395a9b2b
1460b1c9b
15400c900
hex2b7e0a1

45605025 has 36 divisors (see below), whose sum is σ = 84720272. Its totient is φ = 24319440.

The previous prime is 45605017. The next prime is 45605047. The reversal of 45605025 is 52050654.

45605025 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 45605025 - 23 = 45605017 is a prime.

It is a super-5 number, since 5×456050255 (a number of 39 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45605025.

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 35 ways as a sum of consecutive naturals, for example, 2322 + ... + 9828.

Almost surely, 245605025 is an apocalyptic number.

45605025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45605025 is a deficient number, since it is larger than the sum of its proper divisors (39115247).

45605025 is an equidigital number, since it uses as much as digits as its factorization.

45605025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45605025 is about 6753.1492653428. The cubic root of 45605025 is about 357.2763202143.

Adding to 45605025 its reverse (52050654), we get a palindrome (97655679).

The spelling of 45605025 in words is "forty-five million, six hundred five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 1215 2025 6075 7507 22521 37535 67563 112605 187675 202689 337815 563025 608067 1013445 1689075 1824201 3040335 5067225 9121005 15201675 45605025