10249488 has 60 divisors (see below), whose sum is σ = 28991820. Its totient is φ = 3379968.

The previous prime is 10249483. The next prime is 10249501. The reversal of 10249488 is 88494201.

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 5531904 = 2172^2 + 2352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10249483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15370 + ... + 16022.

It is an arithmetic number, because the mean of its divisors is an integer number (483197).

Almost surely, 2^10249488 is an apocalyptic number.

10249488 is a gapful number since it is divisible by the number (18) 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 10249488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495910).

10249488 is an abundant number, since it is smaller than the sum of its proper divisors (18742332).

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

10249488 is a wasteful number, since it uses less digits than its factorization.

10249488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10249488 is about 3201.4821567518. The cubic root of 10249488 is about 217.2204573591.

The spelling of 10249488 in words is "ten million, two hundred forty-nine thousand, four hundred eighty-eight".