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26869248 = 29327317
BaseRepresentation
bin110011001111…
…1111000000000
31212120002200100
41212133320000
523334303443
62355522400
7444246000
oct146377000
955502610
1026869248
111419229a
128bb9400
135749c83
1437d6000
15255b3d3
hex199fe00

26869248 has 240 divisors, whose sum is σ = 95752800. Its totient is φ = 7225344.

The previous prime is 26869247. The next prime is 26869259. The reversal of 26869248 is 84296862.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26869247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580536 + ... + 1580552.

It is an arithmetic number, because the mean of its divisors is an integer number (398970).

Almost surely, 226869248 is an apocalyptic number.

26869248 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 26869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876400).

26869248 is an abundant number, since it is smaller than the sum of its proper divisors (68883552).

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

26869248 is an equidigital number, since it uses as much as digits as its factorization.

26869248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 26869248 is about 5183.5555365019. Note that the first 4 decimals coincide. The cubic root of 26869248 is about 299.5149495094.

The spelling of 26869248 in words is "twenty-six million, eight hundred sixty-nine thousand, two hundred forty-eight".