Search a number
-
+
855891936 = 253219712203
BaseRepresentation
bin110011000000111…
…101111111100000
32012122111211000100
4303000331333200
53223102020221
6220532422400
730131650524
oct6300757740
92178454010
10855891936
113aa146309
121ba777a00
13108422043
1481957d84
1550217926
hex3303dfe0

855891936 has 144 divisors (see below), whose sum is σ = 2599309440. Its totient is φ = 266353920.

The previous prime is 855891929. The next prime is 855891941. The reversal of 855891936 is 639198558.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8558919362 = 1465102012219656192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387411 + ... + 389613.

It is an arithmetic number, because the mean of its divisors is an integer number (18050760).

Almost surely, 2855891936 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 855891936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299654720).

855891936 is an abundant number, since it is smaller than the sum of its proper divisors (1743417504).

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

855891936 is a wasteful number, since it uses less digits than its factorization.

855891936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2298 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 855891936 is about 29255.6308426258. The cubic root of 855891936 is about 949.4519224584.

The spelling of 855891936 in words is "eight hundred fifty-five million, eight hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 71 72 76 96 114 142 144 152 171 213 228 284 288 304 342 426 456 568 608 639 684 852 912 1136 1278 1349 1368 1704 1824 2203 2272 2556 2698 2736 3408 4047 4406 5112 5396 5472 6609 6816 8094 8812 10224 10792 12141 13218 16188 17624 19827 20448 21584 24282 26436 32376 35248 39654 41857 43168 48564 52872 64752 70496 79308 83714 97128 105744 125571 129504 156413 158616 167428 194256 211488 251142 312826 317232 334856 376713 388512 469239 502284 625652 634464 669712 753426 938478 1004568 1251304 1339424 1407717 1506852 1876956 2009136 2502608 2815434 2971847 3013704 3753912 4018272 5005216 5630868 5943694 6027408 7507824 8915541 11261736 11887388 12054816 15015648 17831082 22523472 23774776 26746623 35662164 45046944 47549552 53493246 71324328 95099104 106986492 142648656 213972984 285297312 427945968 855891936