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882217242 = 232269182201
BaseRepresentation
bin110100100101011…
…001000100011010
32021111001021112200
4310211121010122
53301321422432
6223312551030
730601502634
oct6445310432
92244037480
10882217242
11412a96965
12207552476
13110a0b54a
148524ba54
15526b7a7c
hex3495911a

882217242 has 24 divisors (see below), whose sum is σ = 1918587060. Its totient is φ = 292977600.

The previous prime is 882217241. The next prime is 882217249. The reversal of 882217242 is 242712288.

It can be written as a sum of positive squares in 2 ways, for example, as 837581481 + 44635761 = 28941^2 + 6681^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 882217197 and 882217206.

It is not an unprimeable number, because it can be changed into a prime (882217241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86259 + ... + 95942.

Almost surely, 2882217242 is an apocalyptic number.

882217242 is an abundant number, since it is smaller than the sum of its proper divisors (1036369818).

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

882217242 is a wasteful number, since it uses less digits than its factorization.

882217242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182478 (or 182475 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 882217242 is about 29702.1420439671. The cubic root of 882217242 is about 959.0881249971.

The spelling of 882217242 in words is "eight hundred eighty-two million, two hundred seventeen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 4842 182201 364402 546603 1093206 1639809 3279618 49012069 98024138 147036207 294072414 441108621 882217242