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26685945 = 32511213229
BaseRepresentation
bin110010111001…
…1000111111001
31212012210020100
41211303013321
523312422240
62351550013
7442553406
oct145630771
955183210
1026685945
1114077600
128b2b309
1356b4700
1437892ad
152521e30
hex19731f9

26685945 has 108 divisors (see below), whose sum is σ = 56953260. Its totient is φ = 11531520.

The previous prime is 26685913. The next prime is 26685949. The reversal of 26685945 is 54958662.

26685945 = 952 + 962 + ... + 4322.

It can be written as a sum of positive squares in 6 ways, for example, as 5035536 + 21650409 = 2244^2 + 4653^2 .

It is not a de Polignac number, because 26685945 - 25 = 26685913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 26685945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26685949) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 920191 + ... + 920219.

It is an arithmetic number, because the mean of its divisors is an integer number (527345).

Almost surely, 226685945 is an apocalyptic number.

It is an amenable number.

26685945 is an abundant number, since it is smaller than the sum of its proper divisors (30267315).

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

26685945 is a wasteful number, since it uses less digits than its factorization.

26685945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 26685945 is about 5165.8440743019. The cubic root of 26685945 is about 298.8322941069.

The spelling of 26685945 in words is "twenty-six million, six hundred eighty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 13 15 29 33 39 45 55 65 87 99 117 121 143 145 165 169 195 261 319 363 377 429 435 495 507 585 605 715 845 957 1089 1131 1287 1305 1521 1573 1595 1815 1859 1885 2145 2535 2871 3393 3509 4147 4719 4785 4901 5445 5577 5655 6435 7605 7865 9295 10527 12441 14157 14355 14703 16731 16965 17545 20449 20735 23595 24505 27885 31581 37323 44109 45617 52635 53911 61347 62205 70785 73515 83655 102245 136851 157905 161733 184041 186615 220545 228085 269555 306735 410553 485199 593021 684255 808665 920205 1779063 2052765 2425995 2965105 5337189 8895315 26685945