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26434368 = 263245893
BaseRepresentation
bin110010011010…
…1101101000000
31211202000010200
41210311231000
523231344433
62342325200
7440455062
oct144655500
954660120
1026434368
1113a15594
128a29800
13562704c
143721732
1524c2613
hex1935b40

26434368 has 42 divisors (see below), whose sum is σ = 75770994. Its totient is φ = 8811264.

The previous prime is 26434367. The next prime is 26434403. The reversal of 26434368 is 86343462.

It is a happy number.

26434368 is a `hidden beast` number, since 2 + 643 + 4 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19079424 + 7354944 = 4368^2 + 2712^2 .

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

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 (26434367) 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 5 ways as a sum of consecutive naturals, for example, 22371 + ... + 23522.

Almost surely, 226434368 is an apocalyptic number.

It is an amenable number.

26434368 is an abundant number, since it is smaller than the sum of its proper divisors (49336626).

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

26434368 is a wasteful number, since it uses less digits than its factorization.

26434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45911 (or 45898 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 26434368 is about 5141.4363751777. The cubic root of 26434368 is about 297.8902648377.

The spelling of 26434368 in words is "twenty-six million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 45893 91786 137679 183572 275358 367144 413037 550716 734288 826074 1101432 1468576 1652148 2202864 2937152 3304296 4405728 6608592 8811456 13217184 26434368