52077936 has 80 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 15473664.

The previous prime is 52077901. The next prime is 52077941. The reversal of 52077936 is 63977025.

It is a super-2 number, since 2×52077936² = 5424222836040192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52077894 and 52077903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13825 + ... + 17183.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^52077936 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 52077936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

52077936 is an abundant number, since it is smaller than the sum of its proper divisors (97912464).

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

52077936 is a wasteful number, since it uses less digits than its factorization.

52077936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 52077936 is about 7216.5044169598. The cubic root of 52077936 is about 373.4374950287.

The spelling of 52077936 in words is "fifty-two million, seventy-seven thousand, nine hundred thirty-six".