Search a number
-
+
55461 = 3719139
BaseRepresentation
bin1101100010100101
32211002010
431202211
53233321
61104433
7320460
oct154245
984063
1055461
113873a
1228119
131c323
14162d7
1511676
hexd8a5

55461 has 16 divisors (see below), whose sum is σ = 89600. Its totient is φ = 29808.

The previous prime is 55457. The next prime is 55469. The reversal of 55461 is 16455.

It is a happy number.

55461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55461 - 22 = 55457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is the 236-th Hogben number.

It is a Curzon number.

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 55461.

It is not an unprimeable number, because it can be changed into a prime (55469) by changing a digit.

It is a nontrivial repunit in base 235.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

255461 is an apocalyptic number.

It is an amenable number.

55461 is a deficient number, since it is larger than the sum of its proper divisors (34139).

55461 is a wasteful number, since it uses less digits than its factorization.

55461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168.

The product of its digits is 600, while the sum is 21.

The square root of 55461 is about 235.5015923513. The cubic root of 55461 is about 38.1354813071.

The spelling of 55461 in words is "fifty-five thousand, four hundred sixty-one".

Divisors: 1 3 7 19 21 57 133 139 399 417 973 2641 2919 7923 18487 55461