51829056 has 168 divisors, whose sum is σ = 161665920. Its totient is φ = 15814656.

The previous prime is 51829049. The next prime is 51829079. The reversal of 51829056 is 65092815.

It is a happy number.

51829056 is a `hidden beast` number, since 518 + 2 + 90 + 56 = 666.

It is a super-2 number, since 2×51829056² = 5372502091702272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51829056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656025 + ... + 656103.

Almost surely, 2^51829056 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 51829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80832960).

51829056 is an abundant number, since it is smaller than the sum of its proper divisors (109836864).

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

51829056 is a wasteful number, since it uses less digits than its factorization.

51829056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51829056 is about 7199.2399598847. The cubic root of 51829056 is about 372.8416600155.

The spelling of 51829056 in words is "fifty-one million, eight hundred twenty-nine thousand, fifty-six".