[go: up one dir, main page]

Search a number
-
+
28109088 = 2532773191
BaseRepresentation
bin110101100111…
…0100100100000
31221220002102100
41223032210200
524143442323
62442250400
7460631460
oct153164440
957802370
1028109088
1114959857
1294b6a00
135a923c7
143a39ba0
152703943
hex1ace920

28109088 has 144 divisors (see below), whose sum is σ = 93090816. Its totient is φ = 7879680.

The previous prime is 28109087. The next prime is 28109111. The reversal of 28109088 is 88090182.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (28109087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 147073 + ... + 147263.

It is an arithmetic number, because the mean of its divisors is an integer number (646464).

Almost surely, 228109088 is an apocalyptic number.

28109088 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 28109088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46545408).

28109088 is an abundant number, since it is smaller than the sum of its proper divisors (64981728).

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

28109088 is a wasteful number, since it uses less digits than its factorization.

28109088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 28109088 is about 5301.8004489041. The cubic root of 28109088 is about 304.0527378496.

The spelling of 28109088 in words is "twenty-eight million, one hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 73 84 96 112 126 144 146 168 191 219 224 252 288 292 336 382 438 504 511 573 584 657 672 764 876 1008 1022 1146 1168 1314 1337 1528 1533 1719 1752 2016 2044 2292 2336 2628 2674 3056 3066 3438 3504 4011 4088 4584 4599 5256 5348 6112 6132 6876 7008 8022 8176 9168 9198 10512 10696 12033 12264 13752 13943 16044 16352 18336 18396 21024 21392 24066 24528 27504 27886 32088 36792 41829 42784 48132 49056 55008 55772 64176 73584 83658 96264 97601 111544 125487 128352 147168 167316 192528 195202 223088 250974 292803 334632 385056 390404 446176 501948 585606 669264 780808 878409 1003896 1171212 1338528 1561616 1756818 2007792 2342424 3123232 3513636 4015584 4684848 7027272 9369696 14054544 28109088