Search a number
-
+
10826208 = 253237591
BaseRepresentation
bin101001010011…
…000111100000
3202101000202200
4221103013200
510232414313
61024013200
7161010201
oct51230740
922330680
1010826208
116124988
123761200
132320953
14161b5a8
15e3cb73
hexa531e0

10826208 has 36 divisors (see below), whose sum is σ = 30787848. Its totient is φ = 3608640.

The previous prime is 10826203. The next prime is 10826209. The reversal of 10826208 is 80262801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10826201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18508 + ... + 19083.

It is an arithmetic number, because the mean of its divisors is an integer number (855218).

Almost surely, 210826208 is an apocalyptic number.

10826208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10826208 is an abundant number, since it is smaller than the sum of its proper divisors (19961640).

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

10826208 is a wasteful number, since it uses less digits than its factorization.

10826208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37607 (or 37596 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10826208 is about 3290.3203491454. The cubic root of 10826208 is about 221.2205438138.

The spelling of 10826208 in words is "ten million, eight hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 37591 75182 112773 150364 225546 300728 338319 451092 601456 676638 902184 1202912 1353276 1804368 2706552 3608736 5413104 10826208