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26316312 = 23311831201
BaseRepresentation
bin110010001100…
…0111000011000
31211112000012020
41210120320120
523214110222
62340014440
7436453641
oct144307030
954460166
1026316312
1113944920
128991420
1355b53a9
1436d06c8
15249c65c
hex1918e18

26316312 has 64 divisors (see below), whose sum is σ = 72696960. Its totient is φ = 7872000.

The previous prime is 26316307. The next prime is 26316331. The reversal of 26316312 is 21361362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21312 + ... + 22512.

It is an arithmetic number, because the mean of its divisors is an integer number (1135890).

Almost surely, 226316312 is an apocalyptic number.

26316312 is a gapful number since it is divisible by the number (22) 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 26316312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36348480).

26316312 is an abundant number, since it is smaller than the sum of its proper divisors (46380648).

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

26316312 is a wasteful number, since it uses less digits than its factorization.

26316312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1300 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 26316312 is about 5129.9426897384. The cubic root of 26316312 is about 297.4461433003.

Adding to 26316312 its reverse (21361362), we get a palindrome (47677674).

It can be divided in two parts, 263163 and 12, that added together give a triangular number (263175 = T725).

The spelling of 26316312 in words is "twenty-six million, three hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 664 913 996 1201 1826 1992 2402 2739 3603 3652 4804 5478 7206 7304 9608 10956 13211 14412 21912 26422 28824 39633 52844 79266 99683 105688 158532 199366 299049 317064 398732 598098 797464 1096513 1196196 2193026 2392392 3289539 4386052 6579078 8772104 13158156 26316312