48701952 has 160 divisors (see below), whose sum is σ = 155823360. Its totient is φ = 14929920.

The previous prime is 48701951. The next prime is 48701977. The reversal of 48701952 is 25910784.

48701952 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×48701952² = 4743760257220608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48701951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179577 + ... + 179847.

It is an arithmetic number, because the mean of its divisors is an integer number (973896).

Almost surely, 2^48701952 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 48701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77911680).

48701952 is an abundant number, since it is smaller than the sum of its proper divisors (107121408).

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

48701952 is a wasteful number, since it uses less digits than its factorization.

48701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 48701952 is about 6978.6783849093. The cubic root of 48701952 is about 365.1871236673.

The spelling of 48701952 in words is "forty-eight million, seven hundred one thousand, nine hundred fifty-two".