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8242252832 = 2511214592
BaseRepresentation
bin1111010110100011…
…01100110000100000
3210021102020211022102
413223101230300200
5113340004042312
63441512025532
7411151664432
oct75321546040
923242224272
108242252832
11354a59a600
1217203922a8
13a147a24a8
14582928652
153338edec2
hex1eb46cc20

8242252832 has 54 divisors (see below), whose sum is σ = 17848451439. Its totient is φ = 3743910720.

The previous prime is 8242252729. The next prime is 8242252841. The reversal of 8242252832 is 2382522428.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4121126416 + 4121126416 = 64196^2 + 64196^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=64196.

It is a super-2 number, since 2×82422528322 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5648519 + ... + 5649977.

Almost surely, 28242252832 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 8242252832

8242252832 is an abundant number, since it is smaller than the sum of its proper divisors (9606198607).

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

8242252832 is an equidigital number, since it uses as much as digits as its factorization.

8242252832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 1472 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

The square root of 8242252832 is about 90786.8538501032. The cubic root of 8242252832 is about 2019.9873240390.

The spelling of 8242252832 in words is "eight billion, two hundred forty-two million, two hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1459 1936 2918 3872 5836 11672 16049 23344 32098 46688 64196 128392 176539 256784 353078 513568 706156 1412312 2128681 2824624 4257362 5649248 8514724 17029448 23415491 34058896 46830982 68117792 93661964 187323928 257570401 374647856 515140802 749295712 1030281604 2060563208 4121126416 8242252832