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10092288 = 28317773
BaseRepresentation
bin100110011111…
…111100000000
3200222202000110
4212133330000
510040423123
61000151320
7151532403
oct46377400
920882013
1010092288
115773538
123468540
13212488b
1414a9d3a
15d45493
hex99ff00

10092288 has 72 divisors (see below), whose sum is σ = 28477008. Its totient is φ = 3162112.

The previous prime is 10092233. The next prime is 10092293. The reversal of 10092288 is 88229001.

10092288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12670 + ... + 13442.

It is an arithmetic number, because the mean of its divisors is an integer number (395514).

Almost surely, 210092288 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 10092288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238504).

10092288 is an abundant number, since it is smaller than the sum of its proper divisors (18384720).

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

10092288 is an equidigital number, since it uses as much as digits as its factorization.

10092288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 10092288 is about 3176.8361619700. The cubic root of 10092288 is about 216.1042021236.

The spelling of 10092288 in words is "ten million, ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 773 816 1088 1546 1632 2176 2319 3092 3264 4352 4638 6184 6528 9276 12368 13056 13141 18552 24736 26282 37104 39423 49472 52564 74208 78846 98944 105128 148416 157692 197888 210256 296832 315384 420512 593664 630768 841024 1261536 1682048 2523072 3364096 5046144 10092288