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52067106 = 232721319239
BaseRepresentation
bin1100011010011…
…1101100100010
310121222021122100
43012213230202
5101312121411
65055551230
71201364100
oct306475442
9117867570
1052067106
1127432873
121552b516
13aa30250
146cb4c70
154887456
hex31a7b22

52067106 has 144 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 12954816.

The previous prime is 52067077. The next prime is 52067111. The reversal of 52067106 is 60176025.

52067106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52067106.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 217735 + ... + 217973.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 252067106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52067106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

52067106 is an abundant number, since it is smaller than the sum of its proper divisors (97318494).

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

52067106 is a wasteful number, since it uses less digits than its factorization.

52067106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52067106 is about 7215.7540146543. The cubic root of 52067106 is about 373.4116068518.

The spelling of 52067106 in words is "fifty-two million, sixty-seven thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 49 57 63 78 91 98 114 117 126 133 147 171 182 234 239 247 266 273 294 342 399 441 478 494 546 637 717 741 798 819 882 931 1197 1274 1434 1482 1638 1673 1729 1862 1911 2151 2223 2394 2793 3107 3346 3458 3822 4302 4446 4541 5019 5187 5586 5733 6214 8379 9082 9321 10038 10374 11466 11711 12103 13623 15057 15561 16758 18642 21749 23422 24206 27246 27963 30114 31122 31787 35133 36309 40869 43498 55926 59033 63574 65247 70266 72618 81738 95361 105399 108927 118066 130494 152243 177099 190722 195741 210798 217854 222509 286083 304486 354198 391482 413231 445018 456729 531297 572166 667527 826462 913458 1062594 1239693 1335054 1370187 2002581 2479386 2740374 2892617 3719079 4005162 5785234 7438158 8677851 17355702 26033553 52067106