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52680762 = 23229432347
BaseRepresentation
bin1100100011110…
…1100000111010
310200010110102100
43020331200322
5101441241022
65121044230
71206531141
oct310754072
9120113370
1052680762
1127811922
1215786676
13abb6664
146dd4758
1549591ac
hex323d83a

52680762 has 48 divisors (see below), whose sum is σ = 120875040. Its totient is φ = 16553376.

The previous prime is 52680757. The next prime is 52680767. The reversal of 52680762 is 26708625.

52680762 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52680757) and next prime (52680767).

It is not an unprimeable number, because it can be changed into a prime (52680767) 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 23 ways as a sum of consecutive naturals, for example, 21273 + ... + 23619.

It is an arithmetic number, because the mean of its divisors is an integer number (2518230).

Almost surely, 252680762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52680762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60437520).

52680762 is an abundant number, since it is smaller than the sum of its proper divisors (68194278).

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

52680762 is a wasteful number, since it uses less digits than its factorization.

52680762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 52680762 is about 7258.1514175443. The cubic root of 52680762 is about 374.8728742423.

The spelling of 52680762 in words is "fifty-two million, six hundred eighty thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 174 258 261 387 522 774 1247 2347 2494 3741 4694 7041 7482 11223 14082 21123 22446 42246 68063 100921 136126 201842 204189 302763 408378 605526 612567 908289 1225134 1816578 2926709 5853418 8780127 17560254 26340381 52680762