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55076 = 2272281
BaseRepresentation
bin1101011100100100
32210112212
431130210
53230301
61102552
7316400
oct153444
983485
1055076
113841a
1227a58
131c0b8
1416100
15114bb
hexd724

55076 has 18 divisors (see below), whose sum is σ = 112518. Its totient is φ = 23520.

The previous prime is 55073. The next prime is 55079. The reversal of 55076 is 67055.

It can be divided in two parts, 550 and 76, that added together give a palindrome (626).

55076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55073) and next prime (55079).

It can be written as a sum of positive squares in only one way, i.e., 50176 + 4900 = 224^2 + 70^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (55073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (6251).

255076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56259).

55076 is an abundant number, since it is smaller than the sum of its proper divisors (57442).

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

55076 is a wasteful number, since it uses less digits than its factorization.

55076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 55076 is about 234.6827645994. The cubic root of 55076 is about 38.0470331751.

The spelling of 55076 in words is "fifty-five thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 281 562 1124 1967 3934 7868 13769 27538 55076