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50116 = 22111767
BaseRepresentation
bin1100001111000100
32112202011
430033010
53100431
61024004
7266053
oct141704
975664
1050116
1134720
1225004
1319a71
141439a
15ecb1
hexc3c4

50116 has 24 divisors (see below), whose sum is σ = 102816. Its totient is φ = 21120.

The previous prime is 50111. The next prime is 50119. The reversal of 50116 is 61105.

50116 = T1 + T2 + ... + T66.

50116 is a nontrivial binomial coefficient, being equal to C(68, 3).

It is a super-2 number, since 2×501162 = 5023226912, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 50096 and 50105.

It is not an unprimeable number, because it can be changed into a prime (50111) by changing a digit.

It is the 66-th tetrahedral number.

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, 715 + ... + 781.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

250116 is an apocalyptic number.

It is an amenable number.

50116 is an abundant number, since it is smaller than the sum of its proper divisors (52700).

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 (51408).

50116 is a wasteful number, since it uses less digits than its factorization.

50116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 50116 is about 223.8660313670. The cubic root of 50116 is about 36.8687828262.

Subtracting from 50116 its product of nonzero digits (30), we obtain a triangular number (50086 = T316).

The spelling of 50116 in words is "fifty thousand, one hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 67 68 134 187 268 374 737 748 1139 1474 2278 2948 4556 12529 25058 50116