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45258993 = 351314327
BaseRepresentation
bin1010110010100…
…1100011110001
310011011101200000
42230221203301
543041241433
64254020213
71056460263
oct254514361
9104141600
1045258993
112360282a
12131a7669
1394b8490
146021b33
153e90113
hex2b298f1

45258993 has 24 divisors (see below), whose sum is σ = 73015488. Its totient is φ = 27849744.

The previous prime is 45258973. The next prime is 45259001. The reversal of 45258993 is 39985254.

45258993 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 45258993 - 218 = 44996849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45258943) 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 23 ways as a sum of consecutive naturals, for example, 4005 + ... + 10322.

It is an arithmetic number, because the mean of its divisors is an integer number (3042312).

Almost surely, 245258993 is an apocalyptic number.

It is an amenable number.

45258993 is a deficient number, since it is larger than the sum of its proper divisors (27756495).

45258993 is a wasteful number, since it uses less digits than its factorization.

45258993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14355 (or 14343 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 45258993 is about 6727.4804347542. The cubic root of 45258993 is about 356.3704036233.

The spelling of 45258993 in words is "forty-five million, two hundred fifty-eight thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 14327 42981 128943 186251 386829 558753 1160487 1676259 3481461 5028777 15086331 45258993