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52864084 = 22713178543
BaseRepresentation
bin1100100110101…
…0010001010100
310200110202220001
43021222101110
5102013122314
65125021044
71211223460
oct311522124
9120422801
1052864084
1127927629
1215854784
13ac4bc30
1470414a0
154993674
hex326a454

52864084 has 48 divisors (see below), whose sum is σ = 120572928. Its totient is φ = 19680768.

The previous prime is 52864081. The next prime is 52864103. The reversal of 52864084 is 48046825.

It is a super-2 number, since 2×528640842 = 5589222754318112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52864081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1917 + ... + 10459.

It is an arithmetic number, because the mean of its divisors is an integer number (2511936).

Almost surely, 252864084 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 52864084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60286464).

52864084 is an abundant number, since it is smaller than the sum of its proper divisors (67708844).

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

52864084 is a wasteful number, since it uses less digits than its factorization.

52864084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 52864084 is about 7270.7691477587. The cubic root of 52864084 is about 375.3072066325.

The spelling of 52864084 in words is "fifty-two million, eight hundred sixty-four thousand, eighty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 3094 6188 8543 17086 34172 59801 111059 119602 145231 222118 239204 290462 444236 580924 777413 1016617 1554826 1888003 2033234 3109652 3776006 4066468 7552012 13216021 26432042 52864084