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10808292 = 22311372213
BaseRepresentation
bin101001001110…
…101111100100
3202100010012010
4221032233210
510231331132
61023354220
7160604025
oct51165744
922303163
1010808292
116112480
123752970
132315751
141614c4c
15e376cc
hexa4ebe4

10808292 has 48 divisors (see below), whose sum is σ = 28268352. Its totient is φ = 3185280.

The previous prime is 10808267. The next prime is 10808299. The reversal of 10808292 is 29280801.

It is not an unprimeable number, because it can be changed into a prime (10808299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3778 + ... + 5990.

It is an arithmetic number, because the mean of its divisors is an integer number (588924).

Almost surely, 210808292 is an apocalyptic number.

10808292 is a gapful number since it is divisible by the number (12) 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 10808292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134176).

10808292 is an abundant number, since it is smaller than the sum of its proper divisors (17460060).

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

10808292 is a wasteful number, since it uses less digits than its factorization.

10808292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2266 counting only the distinct ones).

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

The square root of 10808292 is about 3287.5966905933. The cubic root of 10808292 is about 221.0984457971.

The spelling of 10808292 in words is "ten million, eight hundred eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2213 2442 4426 4884 6639 8852 13278 24343 26556 48686 73029 81881 97372 146058 163762 245643 292116 327524 491286 900691 982572 1801382 2702073 3602764 5404146 10808292