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26290128 = 24337113131
BaseRepresentation
bin110010001001…
…0011111010000
31211110200021110
41210102133100
523212241003
62335253320
7436314414
oct144223720
954420243
1026290128
1113927187
12897a240
1355a64b7
1436c4d44
152494a03
hex19127d0

26290128 has 80 divisors (see below), whose sum is σ = 70906176. Its totient is φ = 8386560.

The previous prime is 26290123. The next prime is 26290133. The reversal of 26290128 is 82109262.

It is an interprime number because it is at equal distance from previous prime (26290123) and next prime (26290133).

It is a junction number, because it is equal to n+sod(n) for n = 26290095 and 26290104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26290123) 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 15 ways as a sum of consecutive naturals, for example, 200623 + ... + 200753.

Almost surely, 226290128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26290128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35453088).

26290128 is an abundant number, since it is smaller than the sum of its proper divisors (44616048).

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

26290128 is a wasteful number, since it uses less digits than its factorization.

26290128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 26290128 is about 5127.3899793170. The cubic root of 26290128 is about 297.3474603453.

The spelling of 26290128 in words is "twenty-six million, two hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 113 131 148 222 226 262 296 339 393 444 452 524 592 678 786 888 904 1048 1356 1572 1776 1808 2096 2712 3144 4181 4847 5424 6288 8362 9694 12543 14541 14803 16724 19388 25086 29082 29606 33448 38776 44409 50172 58164 59212 66896 77552 88818 100344 116328 118424 177636 200688 232656 236848 355272 547711 710544 1095422 1643133 2190844 3286266 4381688 6572532 8763376 13145064 26290128