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26808200 = 2352311431
BaseRepresentation
bin110011001000…
…0111110001000
31212102222221022
41212100332020
523330330300
62354332012
7443603006
oct146207610
955388838
1026808200
1114150441
128b8a008
135728253
1437bba76
152548285
hex1990f88

26808200 has 48 divisors (see below), whose sum is σ = 62674560. Its totient is φ = 10664000.

The previous prime is 26808169. The next prime is 26808217. The reversal of 26808200 is 280862.

It is a self number, because there is not a number n which added to its sum of digits gives 26808200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61985 + ... + 62415.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 226808200 is an apocalyptic number.

26808200 is a gapful number since it is divisible by the number (20) 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 26808200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31337280).

26808200 is an abundant number, since it is smaller than the sum of its proper divisors (35866360).

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

26808200 is a wasteful number, since it uses less digits than its factorization.

26808200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 26808200 is about 5177.6635657408. The cubic root of 26808200 is about 299.2879408728.

The spelling of 26808200 in words is "twenty-six million, eight hundred eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 311 431 622 862 1244 1555 1724 2155 2488 3110 3448 4310 6220 7775 8620 10775 12440 15550 17240 21550 31100 43100 62200 86200 134041 268082 536164 670205 1072328 1340410 2680820 3351025 5361640 6702050 13404100 26808200