51914304 has 112 divisors (see below), whose sum is σ = 164429440. Its totient is φ = 15966720.

The previous prime is 51914281. The next prime is 51914309. The reversal of 51914304 is 40341915.

51914304 is a `hidden beast` number, since 519 + 143 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51914309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21309 + ... + 23619.

It is an arithmetic number, because the mean of its divisors is an integer number (1468120).

Almost surely, 2^51914304 is an apocalyptic number.

51914304 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 51914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82214720).

51914304 is an abundant number, since it is smaller than the sum of its proper divisors (112515136).

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

51914304 is a wasteful number, since it uses less digits than its factorization.

51914304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51914304 is about 7205.1581523239. The cubic root of 51914304 is about 373.0459636640.

The spelling of 51914304 in words is "fifty-one million, nine hundred fourteen thousand, three hundred four".