48967776 has 288 divisors, whose sum is σ = 173365920. Its totient is φ = 12902400.

The previous prime is 48967753. The next prime is 48967781. The reversal of 48967776 is 67776984.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1194316 + ... + 1194356.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^48967776 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 48967776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

48967776 is an abundant number, since it is smaller than the sum of its proper divisors (124398144).

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

48967776 is a wasteful number, since it uses less digits than its factorization.

48967776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 48967776 is about 6997.6979071692. The cubic root of 48967776 is about 365.8503374476.

It can be divided in two parts, 489 and 67776, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 48967776 in words is "forty-eight million, nine hundred sixty-seven thousand, seven hundred seventy-six".