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49956 = 22323181
BaseRepresentation
bin1100001100100100
32112112020
430030210
53044311
61023140
7265434
oct141444
975466
1049956
1134595
1224ab0
131997a
14142c4
15ec06
hexc324

49956 has 24 divisors (see below), whose sum is σ = 122304. Its totient is φ = 15840.

The previous prime is 49943. The next prime is 49957. The reversal of 49956 is 65994.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (49957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

249956 is an apocalyptic number.

49956 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

49956 is an abundant number, since it is smaller than the sum of its proper divisors (72348).

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

49956 is a wasteful number, since it uses less digits than its factorization.

49956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 49956 is about 223.5083891043. The cubic root of 49956 is about 36.8295053226.

It can be divided in two parts, 499 and 56, that added together give a palindrome (555).

The spelling of 49956 in words is "forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 181 276 362 543 724 1086 2172 4163 8326 12489 16652 24978 49956