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26138816 = 2611107347
BaseRepresentation
bin110001110110…
…1100011000000
31211011222201022
41203231203000
523142420231
62332125012
7435114314
oct143554300
954158638
1026138816
1113833530
128906768
135552672
143685b44
152464c7b
hex18ed8c0

26138816 has 56 divisors (see below), whose sum is σ = 57278016. Its totient is φ = 11736320.

The previous prime is 26138807. The next prime is 26138837. The reversal of 26138816 is 61883162.

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, 75155 + ... + 75501.

Almost surely, 226138816 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 26138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28639008).

26138816 is an abundant number, since it is smaller than the sum of its proper divisors (31139200).

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

26138816 is a wasteful number, since it uses less digits than its factorization.

26138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 26138816 is about 5112.6134217247. The cubic root of 26138816 is about 296.7759044477.

The spelling of 26138816 in words is "twenty-six million, one hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 176 214 347 352 428 694 704 856 1177 1388 1712 2354 2776 3424 3817 4708 5552 6848 7634 9416 11104 15268 18832 22208 30536 37129 37664 61072 74258 75328 122144 148516 244288 297032 408419 594064 816838 1188128 1633676 2376256 3267352 6534704 13069408 26138816