48607152 has 60 divisors (see below), whose sum is σ = 138038040. Its totient is φ = 14727680.

The previous prime is 48607151. The next prime is 48607177. The reversal of 48607152 is 25170684.

It is a super-2 number, since 2×48607152² = 4725310451102208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (48607151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1624 + ... + 9992.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 2^48607152 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 48607152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69019020).

48607152 is an abundant number, since it is smaller than the sum of its proper divisors (89430888).

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

48607152 is a wasteful number, since it uses less digits than its factorization.

48607152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 48607152 is about 6971.8829594307. The cubic root of 48607152 is about 364.9500200533.

The spelling of 48607152 in words is "forty-eight million, six hundred seven thousand, one hundred fifty-two".