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26412048 = 2433134703
BaseRepresentation
bin110010011000…
…0010000010000
31211200212112000
41210300100100
523230141143
62342034000
7440333025
oct144602020
954625460
1026412048
11139aa843
128a18900
135619b40
14371754c
1524babd3
hex1930410

26412048 has 80 divisors (see below), whose sum is σ = 81661440. Its totient is φ = 8125056.

The previous prime is 26412041. The next prime is 26412049. The reversal of 26412048 is 84021462.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26412041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3265 + ... + 7967.

It is an arithmetic number, because the mean of its divisors is an integer number (1020768).

Almost surely, 226412048 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 26412048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40830720).

26412048 is an abundant number, since it is smaller than the sum of its proper divisors (55249392).

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

26412048 is a wasteful number, since it uses less digits than its factorization.

26412048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 26412048 is about 5139.2653171441. The cubic root of 26412048 is about 297.8063994831.

The spelling of 26412048 in words is "twenty-six million, four hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 4703 5616 9406 14109 18812 28218 37624 42327 56436 61139 75248 84654 112872 122278 126981 169308 183417 225744 244556 253962 338616 366834 489112 507924 550251 677232 733668 978224 1015848 1100502 1467336 1650753 2031696 2201004 2934672 3301506 4402008 6603012 8804016 13206024 26412048