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52641306 = 2333726347
BaseRepresentation
bin1100100011001…
…1111000011010
310200001110022000
43020303320122
5101434010211
65120141430
71206305124
oct310637032
9120043260
1052641306
1127795213
1215767876
13aba1703
146dc4214
15494c656
hex3233e1a

52641306 has 32 divisors (see below), whose sum is σ = 120146880. Its totient is φ = 17072208.

The previous prime is 52641283. The next prime is 52641307. The reversal of 52641306 is 60314625.

52641306 is a `hidden beast` number, since 526 + 4 + 130 + 6 = 666.

52641306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×526413062 = 5542214194771272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52641306.

It is not an unprimeable number, because it can be changed into a prime (52641307) 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 15 ways as a sum of consecutive naturals, for example, 11176 + ... + 15171.

It is an arithmetic number, because the mean of its divisors is an integer number (3754590).

Almost surely, 252641306 is an apocalyptic number.

52641306 is an abundant number, since it is smaller than the sum of its proper divisors (67505574).

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

52641306 is a wasteful number, since it uses less digits than its factorization.

52641306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26395 (or 26389 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52641306 is about 7255.4328609670. The cubic root of 52641306 is about 374.7792620916.

The spelling of 52641306 in words is "fifty-two million, six hundred forty-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 26347 52694 79041 158082 237123 474246 711369 974839 1422738 1949678 2924517 5849034 8773551 17547102 26320653 52641306