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26368950 = 2352367479
BaseRepresentation
bin110010010010…
…1101110110110
31211121200101210
41210211232312
523222301300
62341102250
7440063256
oct144455666
954550353
1026368950
1113980423
1289b7986
13560333a
143705966
1524ad050
hex1925bb6

26368950 has 48 divisors (see below), whose sum is σ = 65710080. Its totient is φ = 6997920.

The previous prime is 26368949. The next prime is 26368957. The reversal of 26368950 is 5986362.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 26368899 and 26368908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26368957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54811 + ... + 55289.

It is an arithmetic number, because the mean of its divisors is an integer number (1368960).

Almost surely, 226368950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26368950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32855040).

26368950 is an abundant number, since it is smaller than the sum of its proper divisors (39341130).

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

26368950 is a wasteful number, since it uses less digits than its factorization.

26368950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 26368950 is about 5135.0705934778. The cubic root of 26368950 is about 297.6443289051.

The spelling of 26368950 in words is "twenty-six million, three hundred sixty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 367 479 734 958 1101 1437 1835 2202 2395 2874 3670 4790 5505 7185 9175 11010 11975 14370 18350 23950 27525 35925 55050 71850 175793 351586 527379 878965 1054758 1757930 2636895 4394825 5273790 8789650 13184475 26368950