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9290064 = 243743643
BaseRepresentation
bin100011011100…
…000101010000
3122110222120110
4203130011100
54334240224
6531041320
7141651510
oct43340520
918428513
109290064
115275843
123140240
131c036a4
14133b840
15c37929
hex8dc150

9290064 has 80 divisors (see below), whose sum is σ = 28109312. Its totient is φ = 2588544.

The previous prime is 9290059. The next prime is 9290077. The reversal of 9290064 is 4600929.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14127 + ... + 14769.

Almost surely, 29290064 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 9290064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054656).

9290064 is an abundant number, since it is smaller than the sum of its proper divisors (18819248).

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

9290064 is a wasteful number, since it uses less digits than its factorization.

9290064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9290064 is about 3047.9606296670. The cubic root of 9290064 is about 210.2194531280.

The spelling of 9290064 in words is "nine million, two hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 643 688 903 1032 1204 1286 1806 1929 2064 2408 2572 3612 3858 4501 4816 5144 7224 7716 9002 10288 13503 14448 15432 18004 27006 27649 30864 36008 54012 55298 72016 82947 108024 110596 165894 193543 216048 221192 331788 387086 442384 580629 663576 774172 1161258 1327152 1548344 2322516 3096688 4645032 9290064