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8673047040 = 293572191213
BaseRepresentation
bin10000001001111010…
…00011001000000000
3211101102212102212110
420010331003020000
5120230300001130
63552341255320
7424632453300
oct100475031000
924342772773
108673047040
113750788679
121820704540
13a82b063c8
145c3c27600
1535b646ab0
hex204f43200

8673047040 has 480 divisors, whose sum is σ = 33978985920. Its totient is φ = 1876525056.

The previous prime is 8673046937. The next prime is 8673047107. The reversal of 8673047040 is 407403768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 8673047040.

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, 7149474 + ... + 7150686.

It is an arithmetic number, because the mean of its divisors is an integer number (70789554).

Almost surely, 28673047040 is an apocalyptic number.

8673047040 is a gapful number since it is divisible by the number (80) 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 8673047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16989492960).

8673047040 is an abundant number, since it is smaller than the sum of its proper divisors (25305938880).

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

8673047040 is a wasteful number, since it uses less digits than its factorization.

8673047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 8673047040 is about 93129.1954222735. The cubic root of 8673047040 is about 2054.5839947395.

The spelling of 8673047040 in words is "eight billion, six hundred seventy-three million, forty-seven thousand, forty".