Search a number
-
+
808205356 = 227192372161
BaseRepresentation
bin110000001011000…
…011110000101100
32002022210002022201
4300023003300230
53123400032411
6212110351244
726012426560
oct6013036054
92068702281
10808205356
11385235712
121a67bb524
13cb59692a
14794a36a0
154ae483c1
hex302c3c2c

808205356 has 72 divisors (see below), whose sum is σ = 1752880416. Its totient is φ = 319127040.

The previous prime is 808205317. The next prime is 808205383. The reversal of 808205356 is 653502808.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 372916 + ... + 375076.

Almost surely, 2808205356 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 808205356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876440208).

808205356 is an abundant number, since it is smaller than the sum of its proper divisors (944675060).

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

808205356 is a wasteful number, since it uses less digits than its factorization.

808205356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 808205356 is about 28428.9527770546. The cubic root of 808205356 is about 931.4808012172.

The spelling of 808205356 in words is "eight hundred eight million, two hundred five thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 259 266 361 518 532 703 722 1036 1406 1444 2161 2527 2812 4322 4921 5054 8644 9842 10108 13357 15127 19684 26714 30254 41059 53428 60508 79957 82118 93499 159914 164236 186998 287413 319828 373996 559699 574826 780121 1119398 1149652 1519183 1560242 2238796 3038366 3120484 5460847 6076732 10634281 10921694 21268562 21843388 28864477 42537124 57728954 115457908 202051339 404102678 808205356