Search a number
-
+
26278434 = 23271361263
BaseRepresentation
bin110010000111…
…1101000100010
31211110002020100
41210033220202
523211402214
62335123230
7436235340
oct144175042
954402210
1026278434
1113919416
128973516
1355a1090
1436c0990
152491309
hex190fa22

26278434 has 96 divisors (see below), whose sum is σ = 71495424. Its totient is φ = 6791040.

The previous prime is 26278429. The next prime is 26278457. The reversal of 26278434 is 43487262.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 99787 + ... + 100049.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 226278434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26278434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

26278434 is an abundant number, since it is smaller than the sum of its proper divisors (45216990).

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

26278434 is a wasteful number, since it uses less digits than its factorization.

26278434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 26278434 is about 5126.2495062180. The cubic root of 26278434 is about 297.3033665206.

The spelling of 26278434 in words is "twenty-six million, two hundred seventy-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 61 63 78 91 117 122 126 182 183 234 263 273 366 427 526 546 549 789 793 819 854 1098 1281 1578 1586 1638 1841 2367 2379 2562 3419 3682 3843 4734 4758 5523 5551 6838 7137 7686 10257 11046 11102 14274 16043 16569 16653 20514 23933 30771 32086 33138 33306 47866 48129 49959 61542 71799 96258 99918 112301 143598 144387 208559 215397 224602 288774 336903 417118 430794 625677 673806 1010709 1251354 1459913 1877031 2021418 2919826 3754062 4379739 8759478 13139217 26278434