49332816 has 180 divisors, whose sum is σ = 159070548. Its totient is φ = 14183424.

The previous prime is 49332781. The next prime is 49332823. The reversal of 49332816 is 61823394.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 32490000 = 4104^2 + 5700^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 675756 + ... + 675828.

Almost surely, 2^49332816 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 49332816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79535274).

49332816 is an abundant number, since it is smaller than the sum of its proper divisors (109737732).

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

49332816 is a wasteful number, since it uses less digits than its factorization.

49332816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 49332816 is about 7023.7323411417. The cubic root of 49332816 is about 366.7571890367.

The spelling of 49332816 in words is "forty-nine million, three hundred thirty-two thousand, eight hundred sixteen".