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26104144 = 2411712089
BaseRepresentation
bin110001110010…
…1000101010000
31211010020011011
41203211011100
523140313034
62331300304
7434611243
oct143450520
954106134
1026104144
111380a480
1288aa694
13553c951
14367725a
152459864
hex18e5150

26104144 has 40 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 11692800.

The previous prime is 26104123. The next prime is 26104159. The reversal of 26104144 is 44140162.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11452 + ... + 13540.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 226104144 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 26104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

26104144 is an abundant number, since it is smaller than the sum of its proper divisors (29874416).

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

26104144 is a wasteful number, since it uses less digits than its factorization.

26104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 26104144 is about 5109.2214671122. The cubic root of 26104144 is about 296.6446262855.

The spelling of 26104144 in words is "twenty-six million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 2089 3124 4178 6248 8356 12496 16712 22979 33424 45958 91916 148319 183832 296638 367664 593276 1186552 1631509 2373104 3263018 6526036 13052072 26104144