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9028492704 = 25327113831063
BaseRepresentation
bin10000110100010001…
…11101110110100000
3212022012200221122200
420122020331312200
5121442243231304
64051515533200
7436506631110
oct103210756640
925265627580
109028492704
113913392220
1218bb75a200
13b0b64819a
14619111040
1537c958e39
hex21a23dda0

9028492704 has 288 divisors, whose sum is σ = 32123879424. Its totient is φ = 2336739840.

The previous prime is 9028492679. The next prime is 9028492709. The reversal of 9028492704 is 4072948209.

9028492704 is a `hidden beast` number, since 90 + 2 + 8 + 492 + 70 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9028492704.

It is not an unprimeable number, because it can be changed into a prime (9028492709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8492877 + ... + 8493939.

It is an arithmetic number, because the mean of its divisors is an integer number (111541248).

Almost surely, 29028492704 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 9028492704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061939712).

9028492704 is an abundant number, since it is smaller than the sum of its proper divisors (23095386720).

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

9028492704 is a wasteful number, since it uses less digits than its factorization.

9028492704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9028492704 is about 95018.3808744392. The cubic root of 9028492704 is about 2082.2765926303.

The spelling of 9028492704 in words is "nine billion, twenty-eight million, four hundred ninety-two thousand, seven hundred four".