48776256 has 105 divisors (see below), whose sum is σ = 146094069. Its totient is φ = 16091136.

The previous prime is 48776251. The next prime is 48776257. The reversal of 48776256 is 65267784.

The square root of 48776256 is 6984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 26873856 = 4680^2 + 5184^2 .

It is not an unprimeable number, because it can be changed into a prime (48776251) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 502800 + ... + 502896.

Almost surely, 2^48776256 is an apocalyptic number.

48776256 is the 6984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48776256

48776256 is an abundant number, since it is smaller than the sum of its proper divisors (97317813).

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

48776256 is an frugal number, since it uses more digits than its factorization.

48776256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 102 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The cubic root of 48776256 is about 365.3727498748.

The spelling of 48776256 in words is "forty-eight million, seven hundred seventy-six thousand, two hundred fifty-six".