51602976 has 72 divisors (see below), whose sum is σ = 147567420. Its totient is φ = 17104896.

The previous prime is 51602963. The next prime is 51602981. The reversal of 51602976 is 67920615.

It can be written as a sum of positive squares in 2 ways, for example, as 49280400 + 2322576 = 7020^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 51602976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66720 + ... + 67488.

Almost surely, 2^51602976 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 51602976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73783710).

51602976 is an abundant number, since it is smaller than the sum of its proper divisors (95964444).

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

51602976 is a wasteful number, since it uses less digits than its factorization.

51602976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 51602976 is about 7183.5211421698. The cubic root of 51602976 is about 372.2987541090.

The spelling of 51602976 in words is "fifty-one million, six hundred two thousand, nine hundred seventy-six".