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49924 = 2271783
BaseRepresentation
bin1100001100000100
32112111001
430030010
53044144
61023044
7265360
oct141404
975431
1049924
1134566
1224a84
1319954
14142a0
15ebd4
hexc304

49924 has 12 divisors (see below), whose sum is σ = 99904. Its totient is φ = 21384.

The previous prime is 49921. The next prime is 49927. The reversal of 49924 is 42994.

It is an interprime number because it is at equal distance from previous prime (49921) and next prime (49927).

49924 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 1783 = 49924 / (4 + 9 + 9 + 2 + 4).

It is a plaindrome in base 11.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 49892 and 49901.

It is not an unprimeable number, because it can be changed into a prime (49921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 864 + ... + 919.

249924 is an apocalyptic number.

It is an amenable number.

49924 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49952).

49924 is a wasteful number, since it uses less digits than its factorization.

49924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1792 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 49924 is about 223.4367919569. The cubic root of 49924 is about 36.8216397615.

The spelling of 49924 in words is "forty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 1783 3566 7132 12481 24962 49924