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284828352 = 2636312351
BaseRepresentation
bin10000111110100…
…010001011000000
3201211221210001020
4100332202023000
51040404001402
644132505440
710026000234
oct2076421300
9654853036
10284828352
11136861836
127b47b280
13470182b3
1429b845c4
151a0138bc
hex10fa22c0

284828352 has 56 divisors (see below), whose sum is σ = 755123712. Its totient is φ = 94752000.

The previous prime is 284828351. The next prime is 284828359. The reversal of 284828352 is 253828482.

284828352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2848283522 = 162254380206071808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284828351) 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 7 ways as a sum of consecutive naturals, for example, 119977 + ... + 122327.

It is an arithmetic number, because the mean of its divisors is an integer number (13484352).

Almost surely, 2284828352 is an apocalyptic number.

It is an amenable number.

284828352 is an abundant number, since it is smaller than the sum of its proper divisors (470295360).

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

284828352 is a wasteful number, since it uses less digits than its factorization.

284828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2987 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 284828352 is about 16876.8584754391. The cubic root of 284828352 is about 657.9522943460.

The spelling of 284828352 in words is "two hundred eighty-four million, eight hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 631 1262 1893 2351 2524 3786 4702 5048 7053 7572 9404 10096 14106 15144 18808 20192 28212 30288 37616 40384 56424 60576 75232 112848 121152 150464 225696 451392 1483481 2966962 4450443 5933924 8900886 11867848 17801772 23735696 35603544 47471392 71207088 94942784 142414176 284828352