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53265006 = 2333147677
BaseRepresentation
bin1100101100110…
…0001001101110
310201020010212000
43023030021232
5102113440011
65141353130
71214513364
oct313141156
9121203760
1053265006
1128080873
1215a087a6
13b05c572
147107634
154a22356
hex32cc26e

53265006 has 64 divisors (see below), whose sum is σ = 124968960. Its totient is φ = 16791840.

The previous prime is 53264989. The next prime is 53265007. The reversal of 53265006 is 60056235.

53265006 is a `hidden beast` number, since 5 + 3 + 2 + 650 + 0 + 6 = 666.

53265006 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53265007) 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 31 ways as a sum of consecutive naturals, for example, 78340 + ... + 79016.

It is an arithmetic number, because the mean of its divisors is an integer number (1952640).

Almost surely, 253265006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53265006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62484480).

53265006 is an abundant number, since it is smaller than the sum of its proper divisors (71703954).

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

53265006 is a wasteful number, since it uses less digits than its factorization.

53265006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53265006 is about 7298.2878814144. The cubic root of 53265006 is about 376.2535966515.

The spelling of 53265006 in words is "fifty-three million, two hundred sixty-five thousand, six".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 93 94 141 186 279 282 423 558 677 837 846 1269 1354 1457 1674 2031 2538 2914 4062 4371 6093 8742 12186 13113 18279 20987 26226 31819 36558 39339 41974 62961 63638 78678 95457 125922 188883 190914 286371 377766 566649 572742 859113 986389 1133298 1718226 1972778 2959167 5918334 8877501 17755002 26632503 53265006