Search a number
-
+
28466208 = 253347701
BaseRepresentation
bin110110010010…
…1110000100000
31222120020022000
41230211300200
524241404313
62454044000
7463646601
oct154456040
958506260
1028466208
11150830a1
129649600
135b88b14
143acdda8
152774673
hex1b25c20

28466208 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 9273600.

The previous prime is 28466201. The next prime is 28466219. The reversal of 28466208 is 80266482.

28466208 is a `hidden beast` number, since 28 + 4 + 6 + 620 + 8 = 666.

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

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 (28466201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40258 + ... + 40958.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 228466208 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 28466208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

28466208 is an abundant number, since it is smaller than the sum of its proper divisors (56447712).

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

28466208 is a wasteful number, since it uses less digits than its factorization.

28466208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28466208 is about 5335.3732765384. The cubic root of 28466208 is about 305.3349647877.

The spelling of 28466208 in words is "twenty-eight million, four hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 701 752 846 864 1128 1269 1402 1504 1692 2103 2256 2538 2804 3384 4206 4512 5076 5608 6309 6768 8412 10152 11216 12618 13536 16824 18927 20304 22432 25236 32947 33648 37854 40608 50472 65894 67296 75708 98841 100944 131788 151416 197682 201888 263576 296523 302832 395364 527152 593046 605664 790728 889569 1054304 1186092 1581456 1779138 2372184 3162912 3558276 4744368 7116552 9488736 14233104 28466208