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51792 = 2431383
BaseRepresentation
bin1100101001010000
32122001020
430221100
53124132
61035440
7303666
oct145120
978036
1051792
1135a04
1225b80
131a760
1414c36
151052c
hexca50

51792 has 40 divisors (see below), whose sum is σ = 145824. Its totient is φ = 15744.

The previous prime is 51787. The next prime is 51797. The reversal of 51792 is 29715.

It is an interprime number because it is at equal distance from previous prime (51787) and next prime (51797).

It is a super-2 number, since 2×517922 = 5364822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

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 51792.

It is not an unprimeable number, because it can be changed into a prime (51797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 665.

251792 is an apocalyptic number.

51792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912).

51792 is an abundant number, since it is smaller than the sum of its proper divisors (94032).

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

51792 is a wasteful number, since it uses less digits than its factorization.

51792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 51792 is about 227.5785578652. The cubic root of 51792 is about 37.2752782491.

The spelling of 51792 in words is "fifty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 498 624 664 996 1079 1328 1992 2158 3237 3984 4316 6474 8632 12948 17264 25896 51792