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51436 = 22711167
BaseRepresentation
bin1100100011101100
32121120001
430203230
53121221
61034044
7302650
oct144354
977501
1051436
1135710
1225924
131a548
1414a60
1510391
hexc8ec

51436 has 24 divisors (see below), whose sum is σ = 112896. Its totient is φ = 19920.

The previous prime is 51431. The next prime is 51437. The reversal of 51436 is 63415.

51436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51431) by changing a digit.

51436 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

251436 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 51436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448).

51436 is an abundant number, since it is smaller than the sum of its proper divisors (61460).

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

51436 is a wasteful number, since it uses less digits than its factorization.

51436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 51436 is about 226.7950616746. The cubic root of 51436 is about 37.1896760961.

Subtracting from 51436 its product of digits (360), we obtain a square (51076 = 2262).

It can be divided in two parts, 5 and 1436, that added together give a palindrome (1441).

The spelling of 51436 in words is "fifty-one thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1169 1837 2338 3674 4676 7348 12859 25718 51436