51629292 has 96 divisors (see below), whose sum is σ = 157301760. Its totient is φ = 14437440.

The previous prime is 51629287. The next prime is 51629311. The reversal of 51629292 is 29292615.

It is a happy number.

51629292 is a `hidden beast` number, since 5 + 1 + 629 + 29 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13773 + ... + 17115.

It is an arithmetic number, because the mean of its divisors is an integer number (1638560).

Almost surely, 2^51629292 is an apocalyptic number.

51629292 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 51629292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78650880).

51629292 is an abundant number, since it is smaller than the sum of its proper divisors (105672468).

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

51629292 is a wasteful number, since it uses less digits than its factorization.

51629292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3372 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 51629292 is about 7185.3526009515. The cubic root of 51629292 is about 372.3620304920.

The spelling of 51629292 in words is "fifty-one million, six hundred twenty-nine thousand, two hundred ninety-two".