Search a number
-
+
7082063200 = 255231328283
BaseRepresentation
bin1101001100001111…
…11011010101100000
3200021120011002100001
412212013323111200
5104001002010300
63130425105344
7340333354402
oct64607732540
920246132301
107082063200
1130047049a3
121457928254
1388b309454
144b27dcb72
152b6b2916a
hex1a61fb560

7082063200 has 72 divisors (see below), whose sum is σ = 17344936728. Its totient is φ = 2823674880.

The previous prime is 7082063089. The next prime is 7082063227. The reversal of 7082063200 is 23602807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236259 + ... + 264541.

It is an arithmetic number, because the mean of its divisors is an integer number (240901899).

Almost surely, 27082063200 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 7082063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672468364).

7082063200 is an abundant number, since it is smaller than the sum of its proper divisors (10262873528).

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

7082063200 is a wasteful number, since it uses less digits than its factorization.

7082063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28616 (or 28603 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7082063200 is about 84154.9950983303. The cubic root of 7082063200 is about 1920.3774576185.

The spelling of 7082063200 in words is "seven billion, eighty-two million, sixty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 313 400 626 800 1252 1565 2504 3130 5008 6260 7825 10016 12520 15650 25040 28283 31300 50080 56566 62600 113132 125200 141415 226264 250400 282830 452528 565660 707075 905056 1131320 1414150 2262640 2828300 4525280 5656600 8852579 11313200 17705158 22626400 35410316 44262895 70820632 88525790 141641264 177051580 221314475 283282528 354103160 442628950 708206320 885257900 1416412640 1770515800 3541031600 7082063200