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52685640 = 23345723101
BaseRepresentation
bin1100100011111…
…0101101001000
310200010201010000
43020332231020
5101441420030
65121123000
71206551310
oct310765510
9120121100
1052685640
1127815557
1215789460
13abb8947
146dd6440
15495a860
hex323eb48

52685640 has 320 divisors, whose sum is σ = 213269760. Its totient is φ = 11404800.

The previous prime is 52685629. The next prime is 52685641. The reversal of 52685640 is 4658625.

52685640 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 5 + 640 = 666.

52685640 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 a junction number, because it is equal to n+sod(n) for n = 52685595 and 52685604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52685641) 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 79 ways as a sum of consecutive naturals, for example, 521590 + ... + 521690.

It is an arithmetic number, because the mean of its divisors is an integer number (666468).

Almost surely, 252685640 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 52685640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106634880).

52685640 is an abundant number, since it is smaller than the sum of its proper divisors (160584120).

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

52685640 is a wasteful number, since it uses less digits than its factorization.

52685640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 52685640 is about 7258.4874457424. The cubic root of 52685640 is about 374.8844443954.

The spelling of 52685640 in words is "fifty-two million, six hundred eighty-five thousand, six hundred forty".