Search a number
-
+
55926 = 23213239
BaseRepresentation
bin1101101001110110
32211201100
431221312
53242201
61110530
7322023
oct155166
984640
1055926
1139022
1228446
131c5c0
141654a
1511886
hexda76

55926 has 24 divisors (see below), whose sum is σ = 131040. Its totient is φ = 17136.

The previous prime is 55921. The next prime is 55927. The reversal of 55926 is 62955.

It can be divided in two parts, 559 and 26, that added together give a palindrome (585).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 55926.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55926.

It is not an unprimeable number, because it can be changed into a prime (55921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

255926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

55926 is an abundant number, since it is smaller than the sum of its proper divisors (75114).

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

55926 is a wasteful number, since it uses less digits than its factorization.

55926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 55926 is about 236.4867861002. The cubic root of 55926 is about 38.2417642143.

The spelling of 55926 in words is "fifty-five thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 239 478 717 1434 2151 3107 4302 6214 9321 18642 27963 55926