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52466106 = 237111943139
BaseRepresentation
bin1100100000100…
…1000110111010
310122201112222010
43020021012322
5101412403411
65112310350
71204645260
oct310110672
9118645863
1052466106
1127685620
12156a23b6
13ab3ca44
146d7a430
1549157a6
hex32091ba

52466106 has 128 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 12519360.

The previous prime is 52466093. The next prime is 52466119. The reversal of 52466106 is 60166425.

It is an interprime number because it is at equal distance from previous prime (52466093) and next prime (52466119).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377385 + ... + 377523.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 252466106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52466106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70963200).

52466106 is an abundant number, since it is smaller than the sum of its proper divisors (89460294).

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

52466106 is a wasteful number, since it uses less digits than its factorization.

52466106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 52466106 is about 7243.3490872662. The cubic root of 52466106 is about 374.3630217469.

The spelling of 52466106 in words is "fifty-two million, four hundred sixty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 43 57 66 77 86 114 129 133 139 154 209 231 258 266 278 301 399 417 418 462 473 602 627 798 817 834 903 946 973 1254 1419 1463 1529 1634 1806 1946 2451 2641 2838 2919 2926 3058 3311 4389 4587 4902 5282 5719 5838 5977 6622 7923 8778 8987 9174 9933 10703 11438 11954 15846 17157 17931 17974 18487 19866 21406 26961 29051 32109 34314 35862 36974 41839 53922 55461 58102 62909 64218 65747 83678 87153 110922 113563 125517 125818 131494 174306 188727 197241 203357 227126 251034 340689 377454 394482 406714 460229 610071 681378 794941 920458 1220142 1249193 1380687 1589882 2384823 2498386 2761374 3747579 4769646 7495158 8744351 17488702 26233053 52466106