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26313312 = 253674091
BaseRepresentation
bin110010001100…
…0001001100000
31211111212002010
41210120021200
523214011222
62335552520
7436442124
oct144301140
954455063
1026313312
1113942643
12898b740
1355b3c0c
1436cd584
15249b80c
hex1918260

26313312 has 48 divisors (see below), whose sum is σ = 70120512. Its totient is φ = 8638080.

The previous prime is 26313299. The next prime is 26313317. The reversal of 26313312 is 21331362.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26313317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4387 + ... + 8477.

It is an arithmetic number, because the mean of its divisors is an integer number (1460844).

Almost surely, 226313312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35060256).

26313312 is an abundant number, since it is smaller than the sum of its proper divisors (43807200).

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

26313312 is a wasteful number, since it uses less digits than its factorization.

26313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4163 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 26313312 is about 5129.6502804772. The cubic root of 26313312 is about 297.4348401418.

Adding to 26313312 its reverse (21331362), we get a palindrome (47644674).

The spelling of 26313312 in words is "twenty-six million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 4091 6432 8182 12273 16364 24546 32728 49092 65456 98184 130912 196368 274097 392736 548194 822291 1096388 1644582 2192776 3289164 4385552 6578328 8771104 13156656 26313312