Search a number
-
+
26456064 = 21232153
BaseRepresentation
bin110010011101…
…1000000000000
31211210002220020
41210323000000
523233043224
62343013440
7440605245
oct144730000
954702806
1026456064
1113a2a918
128a3a280
135633b9b
1437295cc
1524c8c79
hex193b000

26456064 has 52 divisors (see below), whose sum is σ = 70573656. Its totient is φ = 8814592.

The previous prime is 26456039. The next prime is 26456077. The reversal of 26456064 is 46065462.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11212 + ... + 13364.

Almost surely, 226456064 is an apocalyptic number.

26456064 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 26456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35286828).

26456064 is an abundant number, since it is smaller than the sum of its proper divisors (44117592).

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

26456064 is an equidigital number, since it uses as much as digits as its factorization.

26456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 26456064 is about 5143.5458586465. The cubic root of 26456064 is about 297.9717403348.

The spelling of 26456064 in words is "twenty-six million, four hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2153 3072 4096 4306 6144 6459 8612 12288 12918 17224 25836 34448 51672 68896 103344 137792 206688 275584 413376 551168 826752 1102336 1653504 2204672 3307008 4409344 6614016 8818688 13228032 26456064