48059136 has 144 divisors (see below), whose sum is σ = 150847200. Its totient is φ = 15040512.

The previous prime is 48059131. The next prime is 48059159. The reversal of 48059136 is 63195084.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×48059136³ (a number of 24 digits) contains 333 as substring.

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 48059136.

It is not an unprimeable number, because it can be changed into a prime (48059131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117300 + ... + 117708.

It is an arithmetic number, because the mean of its divisors is an integer number (1047550).

Almost surely, 2^48059136 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 48059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423600).

48059136 is an abundant number, since it is smaller than the sum of its proper divisors (102788064).

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

48059136 is a wasteful number, since it uses less digits than its factorization.

48059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

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

The square root of 48059136 is about 6932.4696898003. The cubic root of 48059136 is about 363.5733034893.

The spelling of 48059136 in words is "forty-eight million, fifty-nine thousand, one hundred thirty-six".