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3082756992 = 27372198623
BaseRepresentation
bin1011011110111111…
…0010001110000000
321221211202021120220
42313233302032000
522303141210432
61225522103040
7136252000500
oct26757621600
97854667526
103082756992
111342154a57
127204aaa80
133a189b783
142135c9a00
1513098e72c
hexb7bf2380

3082756992 has 192 divisors, whose sum is σ = 10027987200. Its totient is φ = 834333696.

The previous prime is 3082756949. The next prime is 3082756993. The reversal of 3082756992 is 2996572803.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3082756993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353193 + ... + 361815.

It is an arithmetic number, because the mean of its divisors is an integer number (52229100).

Almost surely, 23082756992 is an apocalyptic number.

3082756992 is a gapful number since it is divisible by the number (32) 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 3082756992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013993600).

3082756992 is an abundant number, since it is smaller than the sum of its proper divisors (6945230208).

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

3082756992 is a wasteful number, since it uses less digits than its factorization.

3082756992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 3082756992 is about 55522.5809198384. The cubic root of 3082756992 is about 1455.3912642682.

The spelling of 3082756992 in words is "three billion, eighty-two million, seven hundred fifty-six thousand, nine hundred ninety-two".