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26868864 = 273116361
BaseRepresentation
bin110011001111…
…1110010000000
31212120002011010
41212133302000
523334300424
62355520520
7444244611
oct146376200
955502133
1026868864
1114191a80
128bb9140
135749a49
1437d5c08
15255b229
hex199fc80

26868864 has 64 divisors (see below), whose sum is σ = 77870880. Its totient is φ = 8140800.

The previous prime is 26868841. The next prime is 26868871. The reversal of 26868864 is 46886862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 1044 + ... + 7404.

Almost surely, 226868864 is an apocalyptic number.

26868864 is a gapful number since it is divisible by the number (24) 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 26868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38935440).

26868864 is an abundant number, since it is smaller than the sum of its proper divisors (51002016).

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

26868864 is a wasteful number, since it uses less digits than its factorization.

26868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6377 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 26868864 is about 5183.5184961568. The cubic root of 26868864 is about 299.5135226702.

The spelling of 26868864 in words is "twenty-six million, eight hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 6361 12722 19083 25444 38166 50888 69971 76332 101776 139942 152664 203552 209913 279884 305328 407104 419826 559768 610656 814208 839652 1119536 1221312 1679304 2239072 2442624 3358608 4478144 6717216 8956288 13434432 26868864