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26242048 = 21072523
BaseRepresentation
bin110010000011…
…0110000000000
31211101020022201
41210012300000
523204221143
62334242544
7436024300
oct144066000
954336281
1026242048
11138a4048
128956454
13558a651
1436b1600
15248564d
hex1906c00

26242048 has 66 divisors (see below), whose sum is σ = 61139796. Its totient is φ = 11225088.

The previous prime is 26242019. The next prime is 26242061. The reversal of 26242048 is 84024262.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49915 + ... + 50437.

Almost surely, 226242048 is an apocalyptic number.

26242048 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 26242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30569898).

26242048 is an abundant number, since it is smaller than the sum of its proper divisors (34897748).

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

26242048 is an equidigital number, since it uses as much as digits as its factorization.

26242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 26242048 is about 5122.6992884611. The cubic root of 26242048 is about 297.1660844058.

The spelling of 26242048 in words is "twenty-six million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 523 784 896 1024 1046 1568 1792 2092 3136 3584 3661 4184 6272 7168 7322 8368 12544 14644 16736 25088 25627 29288 33472 50176 51254 58576 66944 102508 117152 133888 205016 234304 267776 410032 468608 535552 820064 937216 1640128 1874432 3280256 3748864 6560512 13121024 26242048