51945894 has 192 divisors, whose sum is σ = 160151040. Its totient is φ = 12052800.

The previous prime is 51945889. The next prime is 51945899. The reversal of 51945894 is 49854915.

51945894 is a `hidden beast` number, since 519 + 45 + 8 + 94 = 666.

It is an interprime number because it is at equal distance from previous prime (51945889) and next prime (51945899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51945899) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1675659 + ... + 1675689.

It is an arithmetic number, because the mean of its divisors is an integer number (834120).

Almost surely, 2^51945894 is an apocalyptic number.

51945894 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51945894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80075520).

51945894 is an abundant number, since it is smaller than the sum of its proper divisors (108205146).

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

51945894 is a wasteful number, since it uses less digits than its factorization.

51945894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 51945894 is about 7207.3499984391. The cubic root of 51945894 is about 373.1216148275.

The spelling of 51945894 in words is "fifty-one million, nine hundred forty-five thousand, eight hundred ninety-four".