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45524745 = 3257433361
BaseRepresentation
bin1010110110101…
…0011100001001
310011122220012200
42231222130021
543123242440
64303430413
71061645130
oct255523411
9104586180
1045524745
1123774462
12132b5409
13957c426
146090917
153ee3c30
hex2b6a709

45524745 has 48 divisors (see below), whose sum is σ = 92307072. Its totient is φ = 20321280.

The previous prime is 45524737. The next prime is 45524749. The reversal of 45524745 is 54742554.

It is a happy number.

45524745 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 45524745 - 23 = 45524737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45524749) 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 47 ways as a sum of consecutive naturals, for example, 11865 + ... + 15225.

It is an arithmetic number, because the mean of its divisors is an integer number (1923064).

Almost surely, 245524745 is an apocalyptic number.

45524745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45524745 is an abundant number, since it is smaller than the sum of its proper divisors (46782327).

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

45524745 is a wasteful number, since it uses less digits than its factorization.

45524745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3419 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 45524745 is about 6747.2027537343. The cubic root of 45524745 is about 357.0665553949.

It can be divided in two parts, 455 and 24745, that added together give a triangular number (25200 = T224).

The spelling of 45524745 in words is "forty-five million, five hundred twenty-four thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1935 2709 3361 4515 10083 13545 16805 23527 30249 50415 70581 117635 144523 151245 211743 352905 433569 722615 1011661 1058715 1300707 2167845 3034983 5058305 6503535 9104949 15174915 45524745