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28590336 = 283212409
BaseRepresentation
bin110110100010…
…0000100000000
31222210112120100
41231010010000
524304342321
62500442400
7465004515
oct155040400
958715510
1028590336
1115158385
1296a9400
135c00478
143b2330c
15279b326
hex1b44100

28590336 has 54 divisors (see below), whose sum is σ = 82439630. Its totient is φ = 9529344.

The previous prime is 28590323. The next prime is 28590343. The reversal of 28590336 is 63309582.

It can be written as a sum of positive squares in only one way, i.e., 16646400 + 11943936 = 4080^2 + 3456^2 .

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 28590336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3901 + ... + 8508.

Almost surely, 228590336 is an apocalyptic number.

It is an amenable number.

28590336 is an abundant number, since it is smaller than the sum of its proper divisors (53849294).

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

28590336 is a wasteful number, since it uses less digits than its factorization.

28590336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12431 (or 12414 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 28590336 is about 5346.9931737379. The cubic root of 28590336 is about 305.7781295691.

The spelling of 28590336 in words is "twenty-eight million, five hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 12409 24818 37227 49636 74454 99272 111681 148908 198544 223362 297816 397088 446724 595632 794176 893448 1191264 1588352 1786896 2382528 3176704 3573792 4765056 7147584 9530112 14295168 28590336