83749050 has 144 divisors (see below), whose sum is σ = 280642752. Its totient is φ = 17395200.

The previous prime is 83749009. The next prime is 83749067. The reversal of 83749050 is 5094738.

It is a junction number, because it is equal to n+sod(n) for n = 83748996 and 83749014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33442 + ... + 35858.

It is an arithmetic number, because the mean of its divisors is an integer number (1948908).

Almost surely, 2^83749050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83749050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140321376).

83749050 is an abundant number, since it is smaller than the sum of its proper divisors (196893702).

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

83749050 is a wasteful number, since it uses less digits than its factorization.

83749050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 83749050 is about 9151.4507046697. The cubic root of 83749050 is about 437.5153518423.

It can be divided in two parts, 8374 and 9050, that added together give a square (17424 = 132²).

The spelling of 83749050 in words is "eighty-three million, seven hundred forty-nine thousand, fifty".