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51156 = 22327229
BaseRepresentation
bin1100011111010100
32121011200
430133110
53114111
61032500
7302100
oct143724
977150
1051156
1135486
1225730
131a391
1414900
1510256
hexc7d4

51156 has 54 divisors (see below), whose sum is σ = 155610. Its totient is φ = 14112.

The previous prime is 51151. The next prime is 51157. The reversal of 51156 is 65115.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 7056 = 210^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 51156.

It is not an unprimeable number, because it can be changed into a prime (51151) by changing a digit.

51156 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 17 ways as a sum of consecutive naturals, for example, 1750 + ... + 1778.

251156 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 51156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77805).

51156 is an abundant number, since it is smaller than the sum of its proper divisors (104454).

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

51156 is a wasteful number, since it uses less digits than its factorization.

51156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its digits is 150, while the sum is 18.

The square root of 51156 is about 226.1769218996. The cubic root of 51156 is about 37.1220706460.

The spelling of 51156 in words is "fifty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8526 12789 17052 25578 51156