Search a number
-
+
51894 = 233312
BaseRepresentation
bin1100101010110110
32122012000
430222312
53130034
61040130
7304203
oct145266
978160
1051894
1135a97
1226046
131a80b
1414caa
1510599
hexcab6

51894 has 24 divisors (see below), whose sum is σ = 119160. Its totient is φ = 16740.

The previous prime is 51893. The next prime is 51899. The reversal of 51894 is 49815.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51893) 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, 1659 + ... + 1689.

It is an arithmetic number, because the mean of its divisors is an integer number (4965).

251894 is an apocalyptic number.

51894 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59580).

51894 is an abundant number, since it is smaller than the sum of its proper divisors (67266).

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

51894 is a wasteful number, since it uses less digits than its factorization.

51894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 51894 is about 227.8025460788. The cubic root of 51894 is about 37.2997323807.

The spelling of 51894 in words is "fifty-one thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 961 1674 1922 2883 5766 8649 17298 25947 51894