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2085417882 = 232193600293
BaseRepresentation
bin111110001001100…
…1111001110011010
312101100002012112100
41330103033032122
513232331333012
6542533424230
7102451521342
oct17423171632
95340065470
102085417882
11980189359
124a249b076
132730837a2
1415ad71d22
15c31368dc
hex7c4cf39a

2085417882 has 24 divisors (see below), whose sum is σ = 4541824404. Its totient is φ = 691536384.

The previous prime is 2085417881. The next prime is 2085417883. The reversal of 2085417882 is 2887145802.

It is a happy number.

2085417882 is a `hidden beast` number, since 20 + 8 + 541 + 7 + 8 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (2085417881) and next prime (2085417883).

It can be written as a sum of positive squares in 2 ways, for example, as 2082918321 + 2499561 = 45639^2 + 1581^2 .

It is not an unprimeable number, because it can be changed into a prime (2085417881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296673 + ... + 303620.

Almost surely, 22085417882 is an apocalyptic number.

2085417882 is an abundant number, since it is smaller than the sum of its proper divisors (2456406522).

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

2085417882 is a wasteful number, since it uses less digits than its factorization.

2085417882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600494 (or 600491 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 2085417882 is about 45666.3758360569. The cubic root of 2085417882 is about 1277.6082211416.

The spelling of 2085417882 in words is "two billion, eighty-five million, four hundred seventeen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 600293 1200586 1800879 3601758 5402637 10805274 115856549 231713098 347569647 695139294 1042708941 2085417882