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65049516 = 22327293881
BaseRepresentation
bin1111100000100…
…1001110101100
311112101212011100
43320021032230
5113123041031
610242123100
71416624510
oct370111654
9145355140
1065049516
113379a734
1219950490
131062744c
1488d4140
155a9dde6
hex3e093ac

65049516 has 72 divisors (see below), whose sum is σ = 188776224. Its totient is φ = 18501120.

The previous prime is 65049487. The next prime is 65049529. The reversal of 65049516 is 61594056.

65049516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73396 + ... + 74276.

It is an arithmetic number, because the mean of its divisors is an integer number (2621892).

Almost surely, 265049516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65049516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94388112).

65049516 is an abundant number, since it is smaller than the sum of its proper divisors (123726708).

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

65049516 is a wasteful number, since it uses less digits than its factorization.

65049516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 65049516 is about 8065.3280156482. The cubic root of 65049516 is about 402.1746475119.

The spelling of 65049516 in words is "sixty-five million, forty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 293 586 879 881 1172 1758 1762 2051 2637 2643 3516 3524 4102 5274 5286 6153 6167 7929 8204 10548 10572 12306 12334 15858 18459 18501 24612 24668 31716 36918 37002 55503 73836 74004 111006 222012 258133 516266 774399 1032532 1548798 1806931 2323197 3097596 3613862 4646394 5420793 7227724 9292788 10841586 16262379 21683172 32524758 65049516