10049976 has 48 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 3313152.

The previous prime is 10049959. The next prime is 10049981. The reversal of 10049976 is 67994001.

10049976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10049976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6265 + ... + 7703.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^10049976 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 10049976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

10049976 is an abundant number, since it is smaller than the sum of its proper divisors (17468424).

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

10049976 is a wasteful number, since it uses less digits than its factorization.

10049976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10049976 is about 3170.1697115454. The cubic root of 10049976 is about 215.8017728715.

It can be divided in two parts, 10049 and 976, that added together give a square (11025 = 105²).

The spelling of 10049976 in words is "ten million, forty-nine thousand, nine hundred seventy-six".