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28090656 = 2532118867
BaseRepresentation
bin110101100101…
…0000100100000
31221212011010200
41223022010200
524142400111
62442025200
7460523646
oct153120440
957764120
1028090656
1114946a20
1294a8200
135a86bb9
143a33196
1526ed256
hex1aca120

28090656 has 72 divisors (see below), whose sum is σ = 87154704. Its totient is φ = 8511360.

The previous prime is 28090639. The next prime is 28090663. The reversal of 28090656 is 65609082.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28090656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1266 + ... + 7601.

It is an arithmetic number, because the mean of its divisors is an integer number (1210482).

Almost surely, 228090656 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 28090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43577352).

28090656 is an abundant number, since it is smaller than the sum of its proper divisors (59064048).

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

28090656 is a wasteful number, since it uses less digits than its factorization.

28090656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 28090656 is about 5300.0618864311. The cubic root of 28090656 is about 303.9862643840.

The spelling of 28090656 in words is "twenty-eight million, ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 8867 17734 26601 35468 53202 70936 79803 97537 106404 141872 159606 195074 212808 283744 292611 319212 390148 425616 585222 638424 780296 851232 877833 1170444 1276848 1560592 1755666 2340888 2553696 3121184 3511332 4681776 7022664 9363552 14045328 28090656