51421824 has 64 divisors (see below), whose sum is σ = 151776000. Its totient is φ = 17139456.

The previous prime is 51421817. The next prime is 51421861. The reversal of 51421824 is 42812415.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3984 + ... + 10895.

It is an arithmetic number, because the mean of its divisors is an integer number (2371500).

Almost surely, 2^51421824 is an apocalyptic number.

51421824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

51421824 is an abundant number, since it is smaller than the sum of its proper divisors (100354176).

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

51421824 is a wasteful number, since it uses less digits than its factorization.

51421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14902 (or 14884 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 51421824 is about 7170.9011985942. The cubic root of 51421824 is about 371.8625923314.

It can be divided in two parts, 51 and 421824, that added together give a cube (421875 = 75³).

The spelling of 51421824 in words is "fifty-one million, four hundred twenty-one thousand, eight hundred twenty-four".