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26145088 = 263761181
BaseRepresentation
bin110001110111…
…1000101000000
31211012022022121
41203233011000
523143120323
62332214024
7435141514
oct143570500
954168277
1026145088
1113838212
12890a314
135555488
143688144
152466a5d
hex18ef140

26145088 has 56 divisors (see below), whose sum is σ = 54456584. Its totient is φ = 12441600.

The previous prime is 26145073. The next prime is 26145127. The reversal of 26145088 is 88054162.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 26132544 = 112^2 + 5112^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 144358 + ... + 144538.

It is an arithmetic number, because the mean of its divisors is an integer number (972439).

Almost surely, 226145088 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 26145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27228292).

26145088 is an abundant number, since it is smaller than the sum of its proper divisors (28311496).

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

26145088 is a wasteful number, since it uses less digits than its factorization.

26145088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 26145088 is about 5113.2267698587. The cubic root of 26145088 is about 296.7996396418.

The spelling of 26145088 in words is "twenty-six million, one hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 148 181 244 296 362 488 592 724 976 1184 1448 1952 2257 2368 2896 3904 4514 5792 6697 9028 11041 11584 13394 18056 22082 26788 36112 44164 53576 72224 88328 107152 144448 176656 214304 353312 408517 428608 706624 817034 1634068 3268136 6536272 13072544 26145088