10242048 has 48 divisors (see below), whose sum is σ = 27321840. Its totient is φ = 3411968.

The previous prime is 10242047. The next prime is 10242049. The reversal of 10242048 is 84024201.

It is an interprime number because it is at equal distance from previous prime (10242047) and next prime (10242049).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10242047) 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, 5311 + ... + 6977.

It is an arithmetic number, because the mean of its divisors is an integer number (569205).

Almost surely, 2^10242048 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 10242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660920).

10242048 is an abundant number, since it is smaller than the sum of its proper divisors (17079792).

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

10242048 is an equidigital number, since it uses as much as digits as its factorization.

10242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 10242048 is about 3200.3199840016. The cubic root of 10242048 is about 217.1678852565.

Adding to 10242048 its reverse (84024201), we get a palindrome (94266249).

It can be divided in two parts, 1024 and 2048, that multiplied together give a 21-st power (2097152 = 2²¹).

The spelling of 10242048 in words is "ten million, two hundred forty-two thousand, forty-eight".