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26813696 = 287131151
BaseRepresentation
bin110011001001…
…0010100000000
31212110021110212
41212102110000
523331014241
62354413252
7443625020
oct146222400
955407425
1026813696
1114154588
128b91228
13572a8c0
1437bda80
152549beb
hex1992500

26813696 has 72 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 10598400.

The previous prime is 26813629. The next prime is 26813701. The reversal of 26813696 is 69631862.

It is a super-3 number, since 3×268136963 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22721 + ... + 23871.

It is an arithmetic number, because the mean of its divisors is an integer number (915712).

Almost surely, 226813696 is an apocalyptic number.

26813696 is a gapful number since it is divisible by the number (26) 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 26813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

26813696 is an abundant number, since it is smaller than the sum of its proper divisors (39117568).

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

26813696 is a wasteful number, since it uses less digits than its factorization.

26813696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1173 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 26813696 is about 5178.1942798624. The cubic root of 26813696 is about 299.3083920050.

The spelling of 26813696 in words is "twenty-six million, eight hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1151 1456 1664 1792 2302 2912 3328 4604 5824 8057 9208 11648 14963 16114 18416 23296 29926 32228 36832 59852 64456 73664 104741 119704 128912 147328 209482 239408 257824 294656 418964 478816 515648 837928 957632 1031296 1675856 1915264 2062592 3351712 3830528 6703424 13406848 26813696