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45844 = 2273157
BaseRepresentation
bin1011001100010100
32022212221
423030110
52431334
6552124
7250441
oct131424
968787
1045844
1131497
1222644
1317b36
14129c8
15d8b4
hexb314

45844 has 12 divisors (see below), whose sum is σ = 81844. Its totient is φ = 22464.

The previous prime is 45841. The next prime is 45853. The reversal of 45844 is 44854.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 26244 = 140^2 + 162^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214 + ... + 370.

245844 is an apocalyptic number.

It is an amenable number.

45844 is a deficient number, since it is larger than the sum of its proper divisors (36000).

45844 is a wasteful number, since it uses less digits than its factorization.

45844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its digits is 2560, while the sum is 25.

The square root of 45844 is about 214.1121201614. The cubic root of 45844 is about 35.7899288171.

Subtracting from 45844 its reverse (44854), we obtain a triangular number (990 = T44).

It can be divided in two parts, 4584 and 4, that multiplied together give a triangular number (18336 = T191).

The spelling of 45844 in words is "forty-five thousand, eight hundred forty-four".

Divisors: 1 2 4 73 146 157 292 314 628 11461 22922 45844