10493952 has 112 divisors (see below), whose sum is σ = 32503872. Its totient is φ = 2949120.

The previous prime is 10493941. The next prime is 10493953. The reversal of 10493952 is 25939401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10493952² = 220246057156608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10493953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172002 + ... + 172062.

Almost surely, 2^10493952 is an apocalyptic number.

10493952 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 10493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251936).

10493952 is an abundant number, since it is smaller than the sum of its proper divisors (22009920).

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

10493952 is an frugal number, since it uses more digits than its factorization.

10493952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 10493952 is about 3239.4369881200. The cubic root of 10493952 is about 218.9339055357.

The spelling of 10493952 in words is "ten million, four hundred ninety-three thousand, nine hundred fifty-two".