48267744 has 144 divisors (see below), whose sum is σ = 152603136. Its totient is φ = 13305600.

The previous prime is 48267697. The next prime is 48267767. The reversal of 48267744 is 44776284.

It is a super-2 number, since 2×48267744² = 4659550221699072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48267696 and 48267705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145659 + ... + 145989.

It is an arithmetic number, because the mean of its divisors is an integer number (1059744).

Almost surely, 2^48267744 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 48267744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76301568).

48267744 is an abundant number, since it is smaller than the sum of its proper divisors (104335392).

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

48267744 is a wasteful number, since it uses less digits than its factorization.

48267744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 48267744 is about 6947.4991183879. The cubic root of 48267744 is about 364.0985926223.

The spelling of 48267744 in words is "forty-eight million, two hundred sixty-seven thousand, seven hundred forty-four".