10249152 has 28 divisors (see below), whose sum is σ = 27118056. Its totient is φ = 3416320.

The previous prime is 10249133. The next prime is 10249153. The reversal of 10249152 is 25194201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26499 + ... + 26882.

It is an arithmetic number, because the mean of its divisors is an integer number (968502).

Almost surely, 2^10249152 is an apocalyptic number.

10249152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10249152 is an abundant number, since it is smaller than the sum of its proper divisors (16868904).

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

10249152 is an equidigital number, since it uses as much as digits as its factorization.

10249152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53396 (or 53386 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10249152 is about 3201.4296806271. The cubic root of 10249152 is about 217.2180836837.

Subtracting from 10249152 its sum of digits (24), we obtain a triangular number (10249128 = T₄₅₂₇).

It can be divided in two parts, 10249 and 152, that added together give a palindrome (10401).

The spelling of 10249152 in words is "ten million, two hundred forty-nine thousand, one hundred fifty-two".