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26114088 = 233711131087
BaseRepresentation
bin110001110011…
…1100000101000
31211010201210110
41203213200220
523141122323
62331414320
7434652240
oct143474050
954121713
1026114088
11138169a0
1288b43a0
135544330
14367ab20
15245c793
hex18e7828

26114088 has 128 divisors (see below), whose sum is σ = 87736320. Its totient is φ = 6255360.

The previous prime is 26114087. The next prime is 26114129. The reversal of 26114088 is 88041162.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26114087) 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 31 ways as a sum of consecutive naturals, for example, 23481 + ... + 24567.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 226114088 is an apocalyptic number.

26114088 is a gapful number since it is divisible by the number (28) 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 26114088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868160).

26114088 is an abundant number, since it is smaller than the sum of its proper divisors (61622232).

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

26114088 is a wasteful number, since it uses less digits than its factorization.

26114088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 26114088 is about 5110.1945168457. The cubic root of 26114088 is about 296.6822890117.

The spelling of 26114088 in words is "twenty-six million, one hundred fourteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1087 1092 1144 1716 1848 2002 2174 2184 3003 3261 3432 4004 4348 6006 6522 7609 8008 8696 11957 12012 13044 14131 15218 22827 23914 24024 26088 28262 30436 35871 42393 45654 47828 56524 60872 71742 83699 84786 91308 95656 98917 113048 143484 155441 167398 169572 182616 197834 251097 286968 296751 310882 334796 339144 395668 466323 502194 593502 621764 669592 791336 932646 1004388 1088087 1187004 1243528 1865292 2008776 2176174 2374008 3264261 3730584 4352348 6528522 8704696 13057044 26114088