49773024 has 108 divisors (see below), whose sum is σ = 164697624. Its totient is φ = 14216832.

The previous prime is 49772971. The next prime is 49773067. The reversal of 49773024 is 42037794.

It is a Cunningham number, because it is equal to 7055²-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49773024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12349 + ... + 15875.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^49773024 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 49773024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82348812).

49773024 is an abundant number, since it is smaller than the sum of its proper divisors (114924600).

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

49773024 is a wasteful number, since it uses less digits than its factorization.

49773024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 49773024 is about 7054.9999291283. Note that the first 4 decimals coincide. The cubic root of 49773024 is about 367.8448463776.

It can be divided in two parts, 4977 and 3024, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 49773024 in words is "forty-nine million, seven hundred seventy-three thousand, twenty-four".