Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
51136 = 261747
BaseRepresentation
bin1100011111000000
32121010221
430133000
53114021
61032424
7302041
oct143700
977127
1051136
1135468
1225714
131a377
14148c8
1510241
hexc7c0

51136 has 28 divisors (see below), whose sum is σ = 109728. Its totient is φ = 23552.

The previous prime is 51133. The next prime is 51137. The reversal of 51136 is 63115.

It is a super-2 number, since 2×511362 = 5229780992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1065 + ... + 1111.

251136 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 51136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54864).

51136 is an abundant number, since it is smaller than the sum of its proper divisors (58592).

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

51136 is a wasteful number, since it uses less digits than its factorization.

51136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its digits is 90, while the sum is 16.

The square root of 51136 is about 226.1327044016. The cubic root of 51136 is about 37.1172322550.

The spelling of 51136 in words is "fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 136 188 272 376 544 752 799 1088 1504 1598 3008 3196 6392 12784 25568 51136