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45525645 = 345112929
BaseRepresentation
bin1010110110101…
…0101010001101
310011122221110000
42231222222031
543123310040
64303434513
71061650554
oct255525215
9104587400
1045525645
1123775100
12132b5a39
13957c969
146090d9b
153ee4130
hex2b6aa8d

45525645 has 60 divisors (see below), whose sum is σ = 89798940. Its totient is φ = 22049280.

The previous prime is 45525527. The next prime is 45525659. The reversal of 45525645 is 54652554.

45525645 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 5 + 645 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6625476 + 38900169 = 2574^2 + 6237^2 .

It is not a de Polignac number, because 45525645 - 210 = 45524621 is a prime.

It is a super-3 number, since 3×455256453 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 48541 + ... + 49469.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 245525645 is an apocalyptic number.

45525645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45525645 is a deficient number, since it is larger than the sum of its proper divisors (44273295).

45525645 is a wasteful number, since it uses less digits than its factorization.

45525645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 948 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 45525645 is about 6747.2694477099. The cubic root of 45525645 is about 357.0689083847.

The spelling of 45525645 in words is "forty-five million, five hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 297 363 405 495 605 891 929 1089 1485 1815 2787 3267 4455 4645 5445 8361 9801 10219 13935 16335 25083 30657 41805 49005 51095 75249 91971 112409 125415 153285 275913 337227 376245 459855 562045 827739 1011681 1379565 1686135 3035043 4138695 5058405 9105129 15175215 45525645