48577152 has 128 divisors (see below), whose sum is σ = 143256960. Its totient is φ = 14487552.

The previous prime is 48577147. The next prime is 48577159. The reversal of 48577152 is 25177584.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×48577152² = 4719479392862208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 48577152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48577159) 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, 184573 + ... + 184835.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 2^48577152 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 48577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628480).

48577152 is an abundant number, since it is smaller than the sum of its proper divisors (94679808).

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

48577152 is a wasteful number, since it uses less digits than its factorization.

48577152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 48577152 is about 6969.7311282430. The cubic root of 48577152 is about 364.8749230538.

The spelling of 48577152 in words is "forty-eight million, five hundred seventy-seven thousand, one hundred fifty-two".