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6482112 = 263721353
BaseRepresentation
bin11000101110100011000000
3110012022210020
4120232203000
53124411422
6350533440
7106045200
oct30564300
913168706
106482112
11372811a
122207280
13145c590
14c0a400
1588095c
hex62e8c0

6482112 has 168 divisors, whose sum is σ = 21890736. Its totient is φ = 1677312.

The previous prime is 6482101. The next prime is 6482123. The reversal of 6482112 is 2112846.

It is an interprime number because it is at equal distance from previous prime (6482101) and next prime (6482123).

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122278 + ... + 122330.

It is an arithmetic number, because the mean of its divisors is an integer number (130302).

Almost surely, 26482112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945368).

6482112 is an abundant number, since it is smaller than the sum of its proper divisors (15408624).

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

6482112 is a wasteful number, since it uses less digits than its factorization.

6482112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 6482112 is about 2545.9992144539. Note that the first 3 decimals coincide. The cubic root of 6482112 is about 186.4542027098.

Adding to 6482112 its reverse (2112846), we get a palindrome (8594958).

The spelling of 6482112 in words is "six million, four hundred eighty-two thousand, one hundred twelve".