59252256 has 192 divisors, whose sum is σ = 201519360. Its totient is φ = 16588800.

The previous prime is 59252243. The next prime is 59252267. The reversal of 59252256 is 65225295.

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

It is a self number, because there is not a number n which added to its sum of digits gives 59252256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586606 + ... + 586706.

It is an arithmetic number, because the mean of its divisors is an integer number (1049580).

Almost surely, 2^59252256 is an apocalyptic number.

59252256 is a gapful number since it is divisible by the number (56) 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 59252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759680).

59252256 is an abundant number, since it is smaller than the sum of its proper divisors (142267104).

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

59252256 is a wasteful number, since it uses less digits than its factorization.

59252256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 59252256 is about 7697.5487007228. The cubic root of 59252256 is about 389.8536729159.

The spelling of 59252256 in words is "fifty-nine million, two hundred fifty-two thousand, two hundred fifty-six".