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26304096 = 2537133011
BaseRepresentation
bin110010001010…
…1111001100000
31211111101102210
41210111321200
523213212341
62335442120
7436403220
oct144257140
954441383
1026304096
1113936725
128986340
1355ac970
1436ca080
152498c16
hex1915e60

26304096 has 96 divisors (see below), whose sum is σ = 85010688. Its totient is φ = 6935040.

The previous prime is 26304071. The next prime is 26304107. The reversal of 26304096 is 69040362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7231 + ... + 10241.

It is an arithmetic number, because the mean of its divisors is an integer number (885528).

Almost surely, 226304096 is an apocalyptic number.

26304096 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 26304096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42505344).

26304096 is an abundant number, since it is smaller than the sum of its proper divisors (58706592).

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

26304096 is a wasteful number, since it uses less digits than its factorization.

26304096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 26304096 is about 5128.7518949546. The cubic root of 26304096 is about 297.4001114644.

The spelling of 26304096 in words is "twenty-six million, three hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 3011 4368 6022 8736 9033 12044 18066 21077 24088 36132 39143 42154 48176 63231 72264 78286 84308 96352 117429 126462 144528 156572 168616 234858 252924 274001 289056 313144 337232 469716 505848 548002 626288 674464 822003 939432 1011696 1096004 1252576 1644006 1878864 2023392 2192008 3288012 3757728 4384016 6576024 8768032 13152048 26304096