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2479352085 = 35571967229
BaseRepresentation
bin1001001111000111…
…1110100100010101
320101210100010200000
42103301332210111
520034203231320
61050005041513
7115304100510
oct22361764425
96353303600
102479352085
111062590a11
125923b6299
13306880152
141973d7d77
15e79ecc90
hex93c7e915

2479352085 has 192 divisors, whose sum is σ = 5465241600. Its totient is φ = 1053119232.

The previous prime is 2479352033. The next prime is 2479352089. The reversal of 2479352085 is 5802539742.

2479352085 is a `hidden beast` number, since 2 + 47 + 9 + 3 + 520 + 85 = 666.

It is not a de Polignac number, because 2479352085 - 27 = 2479351957 is a prime.

It is a super-2 number, since 2×24793520852 = 12294373522787694450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2479352085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479352089) 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 191 ways as a sum of consecutive naturals, for example, 10826751 + ... + 10826979.

It is an arithmetic number, because the mean of its divisors is an integer number (28464800).

Almost surely, 22479352085 is an apocalyptic number.

It is an amenable number.

2479352085 is an abundant number, since it is smaller than the sum of its proper divisors (2985889515).

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

2479352085 is a wasteful number, since it uses less digits than its factorization.

2479352085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2479352085 is about 49793.0927438736. The cubic root of 2479352085 is about 1353.4620031768.

The spelling of 2479352085 in words is "two billion, four hundred seventy-nine million, three hundred fifty-two thousand, eighty-five".