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26828496 = 2434127163
BaseRepresentation
bin110011001010…
…1111011010000
31212111000210000
41212111323100
523332002441
62355010000
7444016122
oct146257320
955430700
1026828496
1114164712
128b99900
135734566
1437c5212
15254e2b6
hex1995ed0

26828496 has 100 divisors (see below), whose sum is σ = 78740992. Its totient is φ = 8817984.

The previous prime is 26828491. The next prime is 26828507. The reversal of 26828496 is 69482862.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26828491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164511 + ... + 164673.

Almost surely, 226828496 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 26828496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39370496).

26828496 is an abundant number, since it is smaller than the sum of its proper divisors (51912496).

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

26828496 is a wasteful number, since it uses less digits than its factorization.

26828496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

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

The square root of 26828496 is about 5179.6231523152. The cubic root of 26828496 is about 299.3634503036.

The spelling of 26828496 in words is "twenty-six million, eight hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 163 216 254 324 326 381 432 489 508 648 652 762 978 1016 1143 1296 1304 1467 1524 1956 2032 2286 2608 2934 3048 3429 3912 4401 4572 5868 6096 6858 7824 8802 9144 10287 11736 13203 13716 17604 18288 20574 20701 23472 26406 27432 35208 41148 41402 52812 54864 62103 70416 82296 82804 105624 124206 164592 165608 186309 211248 248412 331216 372618 496824 558927 745236 993648 1117854 1490472 1676781 2235708 2980944 3353562 4471416 6707124 8942832 13414248 26828496