1542289984 has 21 divisors (see below), whose sum is σ = 3061105257. Its totient is φ = 770987904.

The previous prime is 1542289961. The next prime is 1542289993. The reversal of 1542289984 is 4899822451.

It is a happy number.

The square root of 1542289984 is 39272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1531000384 + 11289600 = 39128^2 + 3360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 311722 + ... + 316630.

It is an arithmetic number, because the mean of its divisors is an integer number (145766917).

Almost surely, 2^1542289984 is an apocalyptic number.

1542289984 is the 39272-nd square number.

It is an amenable number.

1542289984 is a deficient number, since it is larger than the sum of its proper divisors (1518815273).

1542289984 is an frugal number, since it uses more digits than its factorization.

1542289984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9830 (or 4911 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The cubic root of 1542289984 is about 1155.3724638472.

The spelling of 1542289984 in words is "one billion, five hundred forty-two million, two hundred eighty-nine thousand, nine hundred eighty-four".