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6048000 = 2833537

6048000 has 288 divisors, whose sum is σ = 25509120. Its totient is φ = 1382400.

The previous prime is 6047999. The next prime is 6048013. The reversal of 6048000 is 8406.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863997 + ... + 864003.

Almost surely, 26048000 is an apocalyptic number.

6048000 is a gapful number since it is divisible by the number (60) 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 6048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754560).

6048000 is an abundant number, since it is smaller than the sum of its proper divisors (19461120).

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

6048000 is an equidigital number, since it uses as much as digits as its factorization.

6048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6048000 is about 2459.2681838303. The cubic root of 6048000 is about 182.1953383125.

The spelling of 6048000 in words is "six million, forty-eight thousand".