Search a number
-
+
38794817296 = 2441212012
BaseRepresentation
bin100100001000010110…
…011110111100010000
310201010200021220122001
4210020112132330100
51113422433123141
625453323323344
72542241335414
oct441026367420
9121120256561
1038794817296
11154a8732484
127628380554
1338734950c1
141c404ccd44
151020cc5a31
hex90859ef10

38794817296 has 45 divisors (see below), whose sum is σ = 77107167039. Its totient is φ = 18908544000.

The previous prime is 38794817263. The next prime is 38794817311. The reversal of 38794817296 is 69271849783.

The square root of 38794817296 is 196964.

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

It can be written as a sum of positive squares in 4 ways, for example, as 36189735696 + 2605081600 = 190236^2 + 51040^2 .

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, 32301496 + ... + 32302696.

Almost surely, 238794817296 is an apocalyptic number.

38794817296 is the 196964-th square number.

It is an amenable number.

38794817296 is a deficient number, since it is larger than the sum of its proper divisors (38312349743).

38794817296 is an frugal number, since it uses more digits than its factorization.

38794817296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 1244 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 64.

Multiplying 38794817296 by its sum of digits (64), we get a square (2482868306944 = 15757122).

The spelling of 38794817296 in words is "thirty-eight billion, seven hundred ninety-four million, eight hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 1201 1681 2402 3362 4804 6724 9608 13448 19216 26896 49241 98482 196964 393928 787856 1442401 2018881 2884802 4037762 5769604 8075524 11539208 16151048 23078416 32302096 59138441 118276882 236553764 473107528 946215056 2424676081 4849352162 9698704324 19397408648 38794817296