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3182765056 = 210412432
BaseRepresentation
bin1011110110110101…
…0010010000000000
322012210221012212021
42331231102100000
523004241440211
61243453411224
7141605025262
oct27555222000
98183835767
103182765056
111393651549
12749a99b14
133b9515b43
142229bdb32
15139646771
hexbdb52400

3182765056 has 99 divisors (see below), whose sum is σ = 6676575033. Its totient is φ = 1516462080.

The previous prime is 3182765039. The next prime is 3182765081. The reversal of 3182765056 is 6505672813.

The square root of 3182765056 is 56416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 153363456 + 3029401600 = 12384^2 + 55040^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74017771 + ... + 74017813.

Almost surely, 23182765056 is an apocalyptic number.

3182765056 is the 56416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3182765056

3182765056 is an abundant number, since it is smaller than the sum of its proper divisors (3493809977).

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

3182765056 is an frugal number, since it uses more digits than its factorization.

3182765056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The cubic root of 3182765056 is about 1470.9622490301.

The spelling of 3182765056 in words is "three billion, one hundred eighty-two million, seven hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 128 164 172 256 328 344 512 656 688 1024 1312 1376 1681 1763 1849 2624 2752 3362 3526 3698 5248 5504 6724 7052 7396 10496 11008 13448 14104 14792 20992 22016 26896 28208 29584 41984 44032 53792 56416 59168 72283 75809 107584 112832 118336 144566 151618 215168 225664 236672 289132 303236 430336 451328 473344 578264 606472 860672 902656 946688 1156528 1212944 1721344 1805312 1893376 2313056 2425888 3108169 4626112 4851776 6216338 9252224 9703552 12432676 18504448 19407104 24865352 37008896 38814208 49730704 74017792 77628416 99461408 198922816 397845632 795691264 1591382528 3182765056