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84260466 = 23317263349
BaseRepresentation
bin1010000010110…
…11011001110010
312212112212122000
411001123121302
5133032313331
612205554430
72042126223
oct501333162
9185485560
1084260466
1143621154
1224275a16
13145c2684
14b29524a
1575e60e6
hex505b672

84260466 has 64 divisors (see below), whose sum is σ = 199584000. Its totient is φ = 26258688.

The previous prime is 84260461. The next prime is 84260479. The reversal of 84260466 is 66406248.

It is a happy number.

84260466 is a `hidden beast` number, since 8 + 42 + 604 + 6 + 6 = 666.

It is a super-2 number, since 2×842604662 = 14199652261074312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84260466.

It is not an unprimeable number, because it can be changed into a prime (84260461) 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 31 ways as a sum of consecutive naturals, for example, 241260 + ... + 241608.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 284260466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84260466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792000).

84260466 is an abundant number, since it is smaller than the sum of its proper divisors (115323534).

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

84260466 is a wasteful number, since it uses less digits than its factorization.

84260466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 84260466 is about 9179.3499769864. The cubic root of 84260466 is about 438.4041119335.

The spelling of 84260466 in words is "eighty-four million, two hundred sixty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 263 306 349 459 526 698 789 918 1047 1578 2094 2367 3141 4471 4734 5933 6282 7101 8942 9423 11866 13413 14202 17799 18846 26826 35598 40239 53397 80478 91787 106794 120717 160191 183574 241434 275361 320382 550722 826083 1560379 1652166 2478249 3120758 4681137 4956498 9362274 14043411 28086822 42130233 84260466