51089184 has 96 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 16434432.

The previous prime is 51089167. The next prime is 51089201. The reversal of 51089184 is 48198015.

It is an interprime number because it is at equal distance from previous prime (51089167) and next prime (51089201).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51089184² = 5220209443571712, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24037 + ... + 26075.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^51089184 is an apocalyptic number.

51089184 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 51089184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

51089184 is an abundant number, since it is smaller than the sum of its proper divisors (103134816).

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

51089184 is a wasteful number, since it uses less digits than its factorization.

51089184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 51089184 is about 7147.6698300915. The cubic root of 51089184 is about 371.0590161442.

The spelling of 51089184 in words is "fifty-one million, eighty-nine thousand, one hundred eighty-four".