Search a number
-
+
857890280 = 2351319312801
BaseRepresentation
bin110011001000100…
…101110111101000
32012210021100020002
4303020211313220
53224104442110
6221043322132
730154642562
oct6310456750
92183240202
10857890280
11400290735
121bb380348
131089717b0
1481d18332
15504aeaa5
hex33225de8

857890280 has 128 divisors (see below), whose sum is σ = 2259532800. Its totient is φ = 290304000.

The previous prime is 857890247. The next prime is 857890303. The reversal of 857890280 is 82098758.

857890280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304880 + ... + 307680.

It is an arithmetic number, because the mean of its divisors is an integer number (17652600).

Almost surely, 2857890280 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 857890280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129766400).

857890280 is an abundant number, since it is smaller than the sum of its proper divisors (1401642520).

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

857890280 is a wasteful number, since it uses less digits than its factorization.

857890280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 47.

The square root of 857890280 is about 29289.7640823548. The cubic root of 857890280 is about 950.1902776758.

The spelling of 857890280 in words is "eight hundred fifty-seven million, eight hundred ninety thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 31 38 40 52 62 65 76 95 104 124 130 152 155 190 247 248 260 310 380 403 494 520 589 620 760 806 988 1178 1235 1240 1612 1976 2015 2356 2470 2801 2945 3224 4030 4712 4940 5602 5890 7657 8060 9880 11204 11780 14005 15314 16120 22408 23560 28010 30628 36413 38285 53219 56020 61256 72826 76570 86831 106438 112040 145652 153140 173662 182065 212876 266095 291304 306280 347324 364130 425752 434155 532190 691847 694648 728260 868310 1064380 1128803 1383694 1456520 1649789 1736620 2128760 2257606 2767388 3299578 3459235 3473240 4515212 5534776 5644015 6599156 6918470 8248945 9030424 11288030 13198312 13836940 16497890 21447257 22576060 27673880 32995780 42894514 45152120 65991560 85789028 107236285 171578056 214472570 428945140 857890280