10047952 has 60 divisors (see below), whose sum is σ = 21584556. Its totient is φ = 4526080.

The previous prime is 10047943. The next prime is 10047967. The reversal of 10047952 is 25974001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 163216 + 9884736 = 404^2 + 3144^2 .

It is a super-2 number, since 2×10047952² = 201922678788608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10047952.

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, 189558 + ... + 189610.

Almost surely, 2^10047952 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 10047952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792278).

10047952 is an abundant number, since it is smaller than the sum of its proper divisors (11536604).

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

10047952 is a wasteful number, since it uses less digits than its factorization.

10047952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10047952 is about 3169.8504696594. The cubic root of 10047952 is about 215.7872848730.

The spelling of 10047952 in words is "ten million, forty-seven thousand, nine hundred fifty-two".