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26028864 = 26345021
BaseRepresentation
bin110001101001…
…0101101000000
31210222101220000
41203102231000
523130410424
62325520000
7434145621
oct143225500
953871800
1026028864
1113768964
128873000
1355145c4
143657a48
1524423c9
hex18d2b40

26028864 has 70 divisors (see below), whose sum is σ = 77173074. Its totient is φ = 8674560.

The previous prime is 26028839. The next prime is 26028881. The reversal of 26028864 is 46882062.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 627264 = 5040^2 + 792^2 .

It is a super-2 number, since 2×260288642 = 1355003522260992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2674 + ... + 7694.

Almost surely, 226028864 is an apocalyptic number.

26028864 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 26028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38586537).

26028864 is an abundant number, since it is smaller than the sum of its proper divisors (51144210).

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

26028864 is an equidigital number, since it uses as much as digits as its factorization.

26028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26028864 is about 5101.8490765604. The cubic root of 26028864 is about 296.3591938447.

The spelling of 26028864 in words is "twenty-six million, twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5021 5184 10042 15063 20084 30126 40168 45189 60252 80336 90378 120504 135567 160672 180756 241008 271134 321344 361512 406701 482016 542268 723024 813402 964032 1084536 1446048 1626804 2169072 2892096 3253608 4338144 6507216 8676288 13014432 26028864