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6082424400 = 24352131920521
BaseRepresentation
bin1011010101000101…
…00110111001010000
3120200220011011200210
411222202212321100
544424100040100
62443315244120
7303504516513
oct55242467120
916626134623
106082424400
112641408528
121218ba9640
1375c1977c0
14419b46d7a
15258eb9c50
hex16a8a6e50

6082424400 has 240 divisors, whose sum is σ = 22088239040. Its totient is φ = 1418342400.

The previous prime is 6082424393. The next prime is 6082424437. The reversal of 6082424400 is 44242806.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286140 + ... + 306660.

Almost surely, 26082424400 is an apocalyptic number.

6082424400 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 6082424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044119520).

6082424400 is an abundant number, since it is smaller than the sum of its proper divisors (16005814640).

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

6082424400 is a wasteful number, since it uses less digits than its factorization.

6082424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20574 (or 20563 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 6082424400 is about 77989.8993460051. The cubic root of 6082424400 is about 1825.4036162405.

The spelling of 6082424400 in words is "six billion, eighty-two million, four hundred twenty-four thousand, four hundred".