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52505568 = 2532315881
BaseRepresentation
bin1100100001001…
…0101111100000
310122210120002200
43020102233200
5101420134233
65113213200
71205201313
oct310225740
9118716080
1052505568
1127702235
1215701200
13ab549ab
146d8a97a
154922313
hex3212be0

52505568 has 72 divisors (see below), whose sum is σ = 154155456. Its totient is φ = 16934400.

The previous prime is 52505513. The next prime is 52505587. The reversal of 52505568 is 86550525.

52505568 is a `hidden beast` number, since 52 + 50 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5988 + ... + 11868.

It is an arithmetic number, because the mean of its divisors is an integer number (2141048).

Almost surely, 252505568 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 52505568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77077728).

52505568 is an abundant number, since it is smaller than the sum of its proper divisors (101649888).

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

52505568 is a wasteful number, since it uses less digits than its factorization.

52505568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 52505568 is about 7246.0725914112. The cubic root of 52505568 is about 374.4568563665.

The spelling of 52505568 in words is "fifty-two million, five hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 5881 8928 11762 17643 23524 35286 47048 52929 70572 94096 105858 141144 182311 188192 211716 282288 364622 423432 546933 564576 729244 846864 1093866 1458488 1640799 1693728 2187732 2916976 3281598 4375464 5833952 6563196 8750928 13126392 17501856 26252784 52505568