Search a number
-
+
5282275328 = 213112732
BaseRepresentation
bin1001110101101100…
…10010000000000000
3111122010112101111222
410322312102000000
541304230302303
62232053254212
7244620412421
oct47266220000
914563471458
105282275328
112270785700
121035034368
13662491b05
1438177d648
1520db13938
hex13ad92000

5282275328 has 126 divisors (see below), whose sum is σ = 11772807417. Its totient is φ = 2368143360.

The previous prime is 5282275307. The next prime is 5282275333. The reversal of 5282275328 is 8235722825.

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 2 ways, for example, as 5257990144 + 24285184 = 72512^2 + 4928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=51392.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 72359900 + ... + 72359972.

Almost surely, 25282275328 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 5282275328

5282275328 is an abundant number, since it is smaller than the sum of its proper divisors (6490532089).

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

5282275328 is an frugal number, since it uses more digits than its factorization.

5282275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 86 counting only the distinct ones).

The product of its digits is 537600, while the sum is 44.

The square root of 5282275328 is about 72679.2633974781. The cubic root of 5282275328 is about 1741.5676329038.

The spelling of 5282275328 in words is "five billion, two hundred eighty-two million, two hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 121 128 146 176 242 256 292 352 484 512 584 704 803 968 1024 1168 1408 1606 1936 2048 2336 2816 3212 3872 4096 4672 5329 5632 6424 7744 8192 8833 9344 10658 11264 12848 15488 17666 18688 21316 22528 25696 30976 35332 37376 42632 45056 51392 58619 61952 70664 74752 85264 90112 102784 117238 123904 141328 149504 170528 205568 234476 247808 282656 299008 341056 411136 468952 495616 565312 598016 644809 682112 822272 937904 991232 1130624 1289618 1364224 1644544 1875808 2261248 2579236 2728448 3289088 3751616 4522496 5158472 5456896 6578176 7503232 9044992 10316944 10913792 15006464 18089984 20633888 21827584 30012928 36179968 41267776 43655168 60025856 72359936 82535552 120051712 165071104 240103424 330142208 480206848 660284416 1320568832 2641137664 5282275328