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26214864 = 2431343977
BaseRepresentation
bin110010000000…
…0000111010000
31211022212000220
41210000013100
523202333424
62333513040
7435552114
oct144000720
954285026
1026214864
1113885685
128942780
13557b170
1436a5744
15247c579
hex19001d0

26214864 has 80 divisors (see below), whose sum is σ = 74703552. Its totient is φ = 7870464.

The previous prime is 26214847. The next prime is 26214883. The reversal of 26214864 is 46841262.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26344 + ... + 27320.

Almost surely, 226214864 is an apocalyptic number.

26214864 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 26214864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37351776).

26214864 is an abundant number, since it is smaller than the sum of its proper divisors (48488688).

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

26214864 is a wasteful number, since it uses less digits than its factorization.

26214864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 26214864 is about 5120.0453122995. The cubic root of 26214864 is about 297.0634380242.

The spelling of 26214864 in words is "twenty-six million, two hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 977 1032 1118 1677 1954 2064 2236 2931 3354 3908 4472 5862 6708 7816 8944 11724 12701 13416 15632 23448 25402 26832 38103 42011 46896 50804 76206 84022 101608 126033 152412 168044 203216 252066 304824 336088 504132 546143 609648 672176 1008264 1092286 1638429 2016528 2184572 3276858 4369144 6553716 8738288 13107432 26214864