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45123831 = 3317372657
BaseRepresentation
bin1010110000100…
…0100011110111
310010220112021000
42230020203313
543022430311
64251054343
71055355234
oct254104367
9103815230
1045123831
1123520225
12131413b3
13946babc
145dc878b
153e65056
hex2b088f7

45123831 has 32 divisors (see below), whose sum is σ = 72722880. Its totient is φ = 27537408.

The previous prime is 45123809. The next prime is 45123853. The reversal of 45123831 is 13832154.

It is a happy number.

45123831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45123809) and next prime (45123853).

It is not a de Polignac number, because 45123831 - 29 = 45123319 is a prime.

It is a super-2 number, since 2×451238312 = 4072320248233122, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 45123795 and 45123804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45123031) 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 31 ways as a sum of consecutive naturals, for example, 15655 + ... + 18311.

It is an arithmetic number, because the mean of its divisors is an integer number (2272590).

Almost surely, 245123831 is an apocalyptic number.

45123831 is a deficient number, since it is larger than the sum of its proper divisors (27599049).

45123831 is a wasteful number, since it uses less digits than its factorization.

45123831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2714 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 45123831 is about 6717.4274093584. The cubic root of 45123831 is about 356.0152936030.

Adding to 45123831 its reverse (13832154), we get a palindrome (58955985).

It can be divided in two parts, 45123 and 831, that added together give a palindrome (45954).

The spelling of 45123831 in words is "forty-five million, one hundred twenty-three thousand, eight hundred thirty-one".

Divisors: 1 3 9 17 27 37 51 111 153 333 459 629 999 1887 2657 5661 7971 16983 23913 45169 71739 98309 135507 294927 406521 884781 1219563 1671253 2654343 5013759 15041277 45123831