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49437 = 331831
BaseRepresentation
bin1100000100011101
32111211000
430010131
53040222
61020513
7264063
oct140435
974730
1049437
1134163
1224739
131966b
1414033
15e9ac
hexc11d

49437 has 8 divisors (see below), whose sum is σ = 73280. Its totient is φ = 32940.

The previous prime is 49433. The next prime is 49451. The reversal of 49437 is 73494.

It is not a de Polignac number, because 49437 - 22 = 49433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1831 = 49437 / (4 + 9 + 4 + 3 + 7).

It is a Duffinian number.

49437 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 49437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49433) 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 7 ways as a sum of consecutive naturals, for example, 889 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (9160).

249437 is an apocalyptic number.

It is an amenable number.

49437 is a deficient number, since it is larger than the sum of its proper divisors (23843).

49437 is a wasteful number, since it uses less digits than its factorization.

49437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1834 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 49437 is about 222.3443275643. The cubic root of 49437 is about 36.7015187447.

It can be divided in two parts, 4943 and 7, that added together give a triangular number (4950 = T99).

The spelling of 49437 in words is "forty-nine thousand, four hundred thirty-seven".

Divisors: 1 3 9 27 1831 5493 16479 49437