59493792 has 48 divisors (see below), whose sum is σ = 156885120. Its totient is φ = 19740672.

The previous prime is 59493787. The next prime is 59493793. The reversal of 59493792 is 29739495.

59493792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×59493792² = 7079022573078528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (59493793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21648 + ... + 24240.

It is an arithmetic number, because the mean of its divisors is an integer number (3268440).

Almost surely, 2^59493792 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 59493792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78442560).

59493792 is an abundant number, since it is smaller than the sum of its proper divisors (97391328).

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

59493792 is a wasteful number, since it uses less digits than its factorization.

59493792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2837 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 59493792 is about 7713.2218949023. The cubic root of 59493792 is about 390.3826881376.

The spelling of 59493792 in words is "fifty-nine million, four hundred ninety-three thousand, seven hundred ninety-two".