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45917325 = 3252892293
BaseRepresentation
bin1010111100101…
…0010010001101
310012101211201200
42233022102031
543223323300
64320100113
71065201516
oct257122215
9105354650
1045917325
1123a12403
1213464639
13968901c
146153a0d
154070200
hex2bca48d

45917325 has 36 divisors (see below), whose sum is σ = 83203380. Its totient is φ = 24203520.

The previous prime is 45917321. The next prime is 45917341. The reversal of 45917325 is 52371954.

45917325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7502121 + 38415204 = 2739^2 + 6198^2 .

It is not a de Polignac number, because 45917325 - 22 = 45917321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45917325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45917321) 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 35 ways as a sum of consecutive naturals, for example, 18879 + ... + 21171.

It is an arithmetic number, because the mean of its divisors is an integer number (2311205).

Almost surely, 245917325 is an apocalyptic number.

45917325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45917325 is a deficient number, since it is larger than the sum of its proper divisors (37286055).

45917325 is a wasteful number, since it uses less digits than its factorization.

45917325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2390 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 45917325 is about 6776.2323602427. The cubic root of 45917325 is about 358.0900000517.

The spelling of 45917325 in words is "forty-five million, nine hundred seventeen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 801 1335 2225 2293 4005 6675 6879 11465 20025 20637 34395 57325 103185 171975 204077 515925 612231 1020385 1836693 3061155 5101925 9183465 15305775 45917325