51904584 has 64 divisors (see below), whose sum is σ = 145641600. Its totient is φ = 17126208.

The previous prime is 51904547. The next prime is 51904609. The reversal of 51904584 is 48540915.

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 15 ways as a sum of consecutive naturals, for example, 21082 + ... + 23414.

It is an arithmetic number, because the mean of its divisors is an integer number (2275650).

Almost surely, 2^51904584 is an apocalyptic number.

51904584 is a gapful number since it is divisible by the number (54) 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 51904584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72820800).

51904584 is an abundant number, since it is smaller than the sum of its proper divisors (93737016).

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

51904584 is a wasteful number, since it uses less digits than its factorization.

51904584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51904584 is about 7204.4836039788. The cubic root of 51904584 is about 373.0226802090.

The spelling of 51904584 in words is "fifty-one million, nine hundred four thousand, five hundred eighty-four".