51842592 has 144 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 16837632.

The previous prime is 51842591. The next prime is 51842597. The reversal of 51842592 is 29524815.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (51842591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458728 + ... + 458840.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^51842592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51842592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

51842592 is an abundant number, since it is smaller than the sum of its proper divisors (105012288).

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

51842592 is a wasteful number, since it uses less digits than its factorization.

51842592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

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

The square root of 51842592 is about 7200.1799977501. The cubic root of 51842592 is about 372.8741150759.

It can be divided in two parts, 5184 and 2592, that added together give a 5-th power (7776 = 6⁵).

The spelling of 51842592 in words is "fifty-one million, eight hundred forty-two thousand, five hundred ninety-two".