10481952 has 96 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 3124224.

The previous prime is 10481929. The next prime is 10481953. The reversal of 10481952 is 25918401.

It is a happy number.

10481952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10481953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46063 + ... + 46289.

It is an arithmetic number, because the mean of its divisors is an integer number (318402).

Almost surely, 2^10481952 is an apocalyptic number.

10481952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10481952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

10481952 is an abundant number, since it is smaller than the sum of its proper divisors (20084640).

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

10481952 is a wasteful number, since it uses less digits than its factorization.

10481952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 10481952 is about 3237.5842846172. The cubic root of 10481952 is about 218.8504222455.

The spelling of 10481952 in words is "ten million, four hundred eighty-one thousand, nine hundred fifty-two".