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26442160 = 2451033209
BaseRepresentation
bin110010011011…
…1100110110000
31211202101211021
41210313212300
523232122120
62342425224
7440516563
oct144674660
954671737
1026442160
1113a20428
128a32214
13562a764
1437244da
1524c4aaa
hex19379b0

26442160 has 40 divisors (see below), whose sum is σ = 62094240. Its totient is φ = 10470912.

The previous prime is 26442149. The next prime is 26442173. The reversal of 26442160 is 6124462.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6636 + ... + 9844.

It is an arithmetic number, because the mean of its divisors is an integer number (1552356).

Almost surely, 226442160 is an apocalyptic number.

26442160 is a gapful number since it is divisible by the number (20) 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 26442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31047120).

26442160 is an abundant number, since it is smaller than the sum of its proper divisors (35652080).

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

26442160 is a wasteful number, since it uses less digits than its factorization.

26442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 26442160 is about 5142.1940842407. The cubic root of 26442160 is about 297.9195314464.

It can be divided in two parts, 264 and 42160, that added together give a palindrome (42424).

The spelling of 26442160 in words is "twenty-six million, four hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 3209 4120 6418 8240 12836 16045 25672 32090 51344 64180 128360 256720 330527 661054 1322108 1652635 2644216 3305270 5288432 6610540 13221080 26442160