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52066938 = 23711251449
BaseRepresentation
bin1100011010011…
…1101001111010
310121222021102010
43012213221322
5101312120223
65055550350
71201363440
oct306475172
9117867363
1052066938
1127432730
121552b3b6
13aa30151
146cb4b90
154887393
hex31a7a7a

52066938 has 64 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 13440000.

The previous prime is 52066921. The next prime is 52066939. The reversal of 52066938 is 83966025.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52066896 and 52066905.

It is not an unprimeable number, because it can be changed into a prime (52066939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115738 + ... + 116186.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 252066938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52066938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

52066938 is an abundant number, since it is smaller than the sum of its proper divisors (78569862).

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

52066938 is a wasteful number, since it uses less digits than its factorization.

52066938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 52066938 is about 7215.7423734499. The cubic root of 52066938 is about 373.4112052341.

The spelling of 52066938 in words is "fifty-two million, sixty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 251 449 462 502 753 898 1347 1506 1757 2694 2761 3143 3514 4939 5271 5522 6286 8283 9429 9878 10542 14817 16566 18858 19327 29634 34573 38654 57981 69146 103719 112699 115962 207438 225398 338097 676194 788893 1239689 1577786 2366679 2479378 3719067 4733358 7438134 8677823 17355646 26033469 52066938