1582493952 has 144 divisors (see below), whose sum is σ = 4682951168. Its totient is φ = 471121920.

The previous prime is 1582493947. The next prime is 1582493963. The reversal of 1582493952 is 2593942851.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 306948 + ... + 312060.

Almost surely, 2^1582493952 is an apocalyptic number.

1582493952 is a gapful number since it is divisible by the number (12) 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 1582493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341475584).

1582493952 is an abundant number, since it is smaller than the sum of its proper divisors (3100457216).

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

1582493952 is a wasteful number, since it uses less digits than its factorization.

1582493952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5162 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 1582493952 is about 39780.5725448994. The cubic root of 1582493952 is about 1165.3257765023.

The spelling of 1582493952 in words is "one billion, five hundred eighty-two million, four hundred ninety-three thousand, nine hundred fifty-two".