49983264 has 192 divisors, whose sum is σ = 160030080. Its totient is φ = 15114240.

The previous prime is 49983251. The next prime is 49983299. The reversal of 49983264 is 46238994.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602167 + ... + 602249.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 2^49983264 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 49983264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

49983264 is an abundant number, since it is smaller than the sum of its proper divisors (110046816).

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

49983264 is a wasteful number, since it uses less digits than its factorization.

49983264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 49983264 is about 7069.8842989118. The cubic root of 49983264 is about 368.3620413096.

The spelling of 49983264 in words is "forty-nine million, nine hundred eighty-three thousand, two hundred sixty-four".