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52984386 = 23272134621
BaseRepresentation
bin1100101000011…
…1101001000010
310200200212220200
43022013221002
5102031000021
65131350030
71212234300
oct312075102
9120625820
1052984386
11279a9a54
12158b2316
13ac91910
147073270
1549b9126
hex3287a42

52984386 has 72 divisors (see below), whose sum is σ = 143845884. Its totient is φ = 13970880.

The previous prime is 52984357. The next prime is 52984403. The reversal of 52984386 is 68348925.

52984386 is a `hidden beast` number, since 529 + 8 + 43 + 86 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49491225 + 3493161 = 7035^2 + 1869^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9156 + ... + 13776.

Almost surely, 252984386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52984386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71922942).

52984386 is an abundant number, since it is smaller than the sum of its proper divisors (90861498).

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

52984386 is a wasteful number, since it uses less digits than its factorization.

52984386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4646 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 52984386 is about 7279.0374363648. The cubic root of 52984386 is about 375.5916846005.

The spelling of 52984386 in words is "fifty-two million, nine hundred eighty-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 4621 5733 9242 11466 13863 27726 32347 41589 60073 64694 83178 97041 120146 180219 194082 226429 291123 360438 420511 452858 540657 582246 679287 841022 1081314 1261533 1358574 2037861 2523066 2943577 3784599 4075722 5887154 7569198 8830731 17661462 26492193 52984386