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26286416 = 2413432939
BaseRepresentation
bin110010001000…
…1100101010000
31211110111011222
41210101211100
523212131131
62335224212
7436300532
oct144214520
954414158
1026286416
1113924412
128978068
1355a48c0
1436c3852
15249387b
hex1911950

26286416 has 40 divisors (see below), whose sum is σ = 56142240. Its totient is φ = 11846016.

The previous prime is 26286413. The next prime is 26286427. The reversal of 26286416 is 61468262.

It is a super-2 number, since 2×262864162 = 1381951332250112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26286413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7475 + ... + 10413.

It is an arithmetic number, because the mean of its divisors is an integer number (1403556).

Almost surely, 226286416 is an apocalyptic number.

26286416 is a gapful number since it is divisible by the number (26) 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 26286416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28071120).

26286416 is an abundant number, since it is smaller than the sum of its proper divisors (29855824).

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

26286416 is a wasteful number, since it uses less digits than its factorization.

26286416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2997 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 26286416 is about 5127.0279890010. The cubic root of 26286416 is about 297.3334651589. Note that the first 3 decimals are identical.

The spelling of 26286416 in words is "twenty-six million, two hundred eighty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 2236 2939 4472 5878 8944 11756 23512 38207 47024 76414 126377 152828 252754 305656 505508 611312 1011016 1642901 2022032 3285802 6571604 13143208 26286416