249113088 has 120 divisors (see below), whose sum is σ = 821771808. Its totient is φ = 71165952.

The previous prime is 249113071. The next prime is 249113107. The reversal of 249113088 is 880311942.

It is a super-2 number, since 2×249113088² = 124114661225791488, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28395 + ... + 36117.

Almost surely, 2^249113088 is an apocalyptic number.

249113088 is a gapful number since it is divisible by the number (28) 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 249113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410885904).

249113088 is an abundant number, since it is smaller than the sum of its proper divisors (572658720).

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

249113088 is an equidigital number, since it uses as much as digits as its factorization.

249113088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7735 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 249113088 is about 15783.3167616949. The cubic root of 249113088 is about 629.2146828570.

The spelling of 249113088 in words is "two hundred forty-nine million, one hundred thirteen thousand, eighty-eight".