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26468112 = 2431150129
BaseRepresentation
bin110010011110…
…1111100010000
31211210201102110
41210331330100
523233434422
62343145320
7440655336
oct144757420
954721373
1026468112
1113a38980
128a45240
135639508
14372db56
1524cc60c
hex193df10

26468112 has 40 divisors (see below), whose sum is σ = 74593440. Its totient is φ = 8020480.

The previous prime is 26468111. The next prime is 26468129. The reversal of 26468112 is 21186462.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26468112.

It is not an unprimeable number, because it can be changed into a prime (26468111) by changing a digit.

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, 24537 + ... + 25592.

It is an arithmetic number, because the mean of its divisors is an integer number (1864836).

Almost surely, 226468112 is an apocalyptic number.

26468112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

26468112 is an abundant number, since it is smaller than the sum of its proper divisors (48125328).

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

26468112 is a wasteful number, since it uses less digits than its factorization.

26468112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50151 (or 50145 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 26468112 is about 5144.7169018324. The cubic root of 26468112 is about 298.0169652369.

The spelling of 26468112 in words is "twenty-six million, four hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 50129 100258 150387 200516 300774 401032 551419 601548 802064 1102838 1203096 1654257 2205676 2406192 3308514 4411352 6617028 8822704 13234056 26468112