83142048 has 96 divisors (see below), whose sum is σ = 243758592. Its totient is φ = 24595200.

The previous prime is 83142029. The next prime is 83142061. The reversal of 83142048 is 84024138.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44493 + ... + 46323.

It is an arithmetic number, because the mean of its divisors is an integer number (2539152).

Almost surely, 2^83142048 is an apocalyptic number.

83142048 is a gapful number since it is divisible by the number (88) 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 83142048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121879296).

83142048 is an abundant number, since it is smaller than the sum of its proper divisors (160616544).

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

83142048 is a wasteful number, since it uses less digits than its factorization.

83142048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 83142048 is about 9118.2261432803. The cubic root of 83142048 is about 436.4557700657.

The spelling of 83142048 in words is "eighty-three million, one hundred forty-two thousand, forty-eight".