52992144 has 100 divisors (see below), whose sum is σ = 158442240. Its totient is φ = 17081280.

The previous prime is 52992143. The next prime is 52992151. The reversal of 52992144 is 44129925.

52992144 is a `hidden beast` number, since 529 + 92 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 52992099 and 52992108.

It is not an unprimeable number, because it can be changed into a prime (52992143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39517 + ... + 40835.

Almost surely, 2^52992144 is an apocalyptic number.

52992144 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 52992144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79221120).

52992144 is an abundant number, since it is smaller than the sum of its proper divisors (105450096).

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

52992144 is a wasteful number, since it uses less digits than its factorization.

52992144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1355 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 52992144 is about 7279.5703169899. The cubic root of 52992144 is about 375.6100151460.

The spelling of 52992144 in words is "fifty-two million, nine hundred ninety-two thousand, one hundred forty-four".