59013248 has 72 divisors (see below), whose sum is σ = 138184245. Its totient is φ = 25030656.

The previous prime is 59013223. The next prime is 59013263. The reversal of 59013248 is 84231095.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 58859584 + 153664 = 7672^2 + 392^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5432.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 608336 + ... + 608432.

Almost surely, 2^59013248 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 59013248

59013248 is an abundant number, since it is smaller than the sum of its proper divisors (79170997).

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

59013248 is an frugal number, since it uses more digits than its factorization.

59013248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 59013248 is about 7682.0080708107. The cubic root of 59013248 is about 389.3287774951.

Multiplying 59013248 by its sum of digits (32), we get a square (1888423936 = 43456²).

59013248 divided by its sum of digits (32) gives a square (1844164 = 1358²).

The spelling of 59013248 in words is "fifty-nine million, thirteen thousand, two hundred forty-eight".