Search a number
-
+
806549856 = 25372941387
BaseRepresentation
bin110000000100101…
…111100101100000
32002012122222101220
4300010233211200
53122434043411
6212011055040
725662363210
oct6004574540
92065588356
10806549856
11384304932
121a6141480
13cb137248
1479192240
154ac1cb06
hex3012f960

806549856 has 96 divisors (see below), whose sum is σ = 2503146240. Its totient is φ = 222491136.

The previous prime is 806549837. The next prime is 806549857. The reversal of 806549856 is 658945608.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 806549799 and 806549808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806549857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206 + ... + 40181.

It is an arithmetic number, because the mean of its divisors is an integer number (26074440).

Almost surely, 2806549856 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 806549856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251573120).

806549856 is an abundant number, since it is smaller than the sum of its proper divisors (1696596384).

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

806549856 is a wasteful number, since it uses less digits than its factorization.

806549856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41436 (or 41428 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 806549856 is about 28399.8214078892. The cubic root of 806549856 is about 930.8443620746.

The spelling of 806549856 in words is "eight hundred six million, five hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 41387 82774 124161 165548 248322 289709 331096 496644 579418 662192 869127 993288 1158836 1200223 1324384 1738254 1986576 2317672 2400446 3476508 3600669 3973152 4635344 4800892 6953016 7201338 8401561 9270688 9601784 13906032 14402676 16803122 19203568 25204683 27812064 28805352 33606244 38407136 50409366 57610704 67212488 100818732 115221408 134424976 201637464 268849952 403274928 806549856