Search a number
-
+
855332676 = 2233115912203
BaseRepresentation
bin110010111110110…
…101011101000100
32012121110101212000
4302332311131010
53222431121201
6220512425300
730124131162
oct6276653504
92177411760
10855332676
113a98a4110
121ba548230
13108287613
1481850232
1550156d86
hex32fb5744

855332676 has 96 divisors (see below), whose sum is σ = 2460326400. Its totient is φ = 254777760.

The previous prime is 855332659. The next prime is 855332677. The reversal of 855332676 is 676233558.

855332676 is a `hidden beast` number, since 8 + 553 + 3 + 26 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (855332677) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63991 + ... + 76193.

It is an arithmetic number, because the mean of its divisors is an integer number (25628400).

Almost surely, 2855332676 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 855332676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230163200).

855332676 is an abundant number, since it is smaller than the sum of its proper divisors (1604993724).

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

855332676 is a wasteful number, since it uses less digits than its factorization.

855332676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12286 (or 12278 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 855332676 is about 29246.0711207506. The cubic root of 855332676 is about 949.2450792983.

It can be divided in two parts, 85533 and 2676, that added together give a square (88209 = 2972).

The spelling of 855332676 in words is "eight hundred fifty-five million, three hundred thirty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 99 108 118 132 177 198 236 297 354 396 531 594 649 708 1062 1188 1298 1593 1947 2124 2596 3186 3894 5841 6372 7788 11682 12203 17523 23364 24406 35046 36609 48812 70092 73218 109827 134233 146436 219654 268466 329481 402699 439308 536932 658962 719977 805398 1208097 1317924 1439954 1610796 2159931 2416194 2879908 3624291 4319862 4832388 6479793 7248582 7919747 8639724 12959586 14497164 15839494 19439379 23759241 25919172 31678988 38878758 47518482 71277723 77757516 95036964 142555446 213833169 285110892 427666338 855332676