288313542 has 48 divisors (see below), whose sum is σ = 689167440. Its totient is φ = 86380800.

The previous prime is 288313541. The next prime is 288313559. The reversal of 288313542 is 245313882.

288313542 is a `hidden beast` number, since 2 + 88 + 31 + 3 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 288313497 and 288313506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288313541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9442 + ... + 25802.

It is an arithmetic number, because the mean of its divisors is an integer number (14357655).

Almost surely, 2^288313542 is an apocalyptic number.

288313542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 288313542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344583720).

288313542 is an abundant number, since it is smaller than the sum of its proper divisors (400853898).

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

288313542 is a wasteful number, since it uses less digits than its factorization.

288313542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16469 (or 16466 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 288313542 is about 16979.7980553362. The cubic root of 288313542 is about 660.6250139912.

The spelling of 288313542 in words is "two hundred eighty-eight million, three hundred thirteen thousand, five hundred forty-two".