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26142816 = 253738903
BaseRepresentation
bin110001110111…
…0100001100000
31211012012012110
41203232201200
523143032231
62332155320
7435132060
oct143564140
954165173
1026142816
1113836537
128908b40
13555442b
1436873a0
152466046
hex18ee860

26142816 has 48 divisors (see below), whose sum is σ = 78430464. Its totient is φ = 7469184.

The previous prime is 26142773. The next prime is 26142817. The reversal of 26142816 is 61824162.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26142817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18780 + ... + 20123.

It is an arithmetic number, because the mean of its divisors is an integer number (1633968).

Almost surely, 226142816 is an apocalyptic number.

It is an amenable number.

26142816 is an abundant number, since it is smaller than the sum of its proper divisors (52287648).

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

26142816 is a wasteful number, since it uses less digits than its factorization.

26142816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38923 (or 38915 counting only the distinct ones).

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

The square root of 26142816 is about 5113.0045961255. The cubic root of 26142816 is about 296.7910421274.

Adding to 26142816 its reverse (61824162), we get a palindrome (87966978).

The spelling of 26142816 in words is "twenty-six million, one hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 38903 77806 116709 155612 233418 272321 311224 466836 544642 622448 816963 933672 1089284 1244896 1633926 1867344 2178568 3267852 3734688 4357136 6535704 8714272 13071408 26142816