Search a number
-
+
882446056996 = 227217239472
BaseRepresentation
bin11001101011101011110…
…00100011111000100100
310010100202011221101101011
430311311320203320210
5103424222142310441
61513220133312004
7120516556503100
oct14656570437044
93110664841334
10882446056996
11310274880689
12123035495604
13652a2aa489a
14309d3d0c900
1517e4b3d3581
hexcd75e23e24

882446056996 has 81 divisors (see below), whose sum is σ = 1908778653201. Its totient is φ = 355854446976.

The previous prime is 882446056981. The next prime is 882446056997. The reversal of 882446056996 is 699650644288.

The square root of 882446056996 is 939386.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 687025476900 + 195420580096 = 828870^2 + 442064^2 .

It is a super-2 number, since 2×8824460569962 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (882446056997) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 223571895 + ... + 223575841.

Almost surely, 2882446056996 is an apocalyptic number.

882446056996 is the 939386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882446056996

882446056996 is an abundant number, since it is smaller than the sum of its proper divisors (1026332596205).

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

882446056996 is an equidigital number, since it uses as much as digits as its factorization.

882446056996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 67.

The spelling of 882446056996 in words is "eight hundred eighty-two billion, four hundred forty-six million, fifty-six thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 3332 3947 4046 7894 8092 14161 15788 27629 28322 55258 56644 67099 110516 134198 193403 268396 386806 469693 773612 939386 1140683 1878772 2281366 3287851 4562732 6575702 7984781 13151404 15578809 15969562 31157618 31939124 55893467 62315236 109051663 111786934 218103326 223573868 264839753 436206652 529679506 763361641 1059359012 1526723282 1853878271 3053446564 3707756542 4502275801 7415513084 9004551602 12977147897 18009103204 25954295794 31515930607 51908591588 63031861214 126063722428 220611514249 441223028498 882446056996