Search a number
-
+
52642986 = 23112591229
BaseRepresentation
bin1100100011010…
…0010010101010
310200001112121020
43020310102222
5101434033421
65120153310
71206313044
oct310642252
9120045536
1052642986
1127796500
1215768836
13aba23c6
146dc4a94
15494cdc6
hex32344aa

52642986 has 48 divisors (see below), whose sum is σ = 117784800. Its totient is φ = 15669280.

The previous prime is 52642963. The next prime is 52643011. The reversal of 52642986 is 68924625.

It is a super-5 number, since 5×526429865 (a number of 40 digits) contains 55555 as substring.

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 23 ways as a sum of consecutive naturals, for example, 42220 + ... + 43448.

It is an arithmetic number, because the mean of its divisors is an integer number (2453850).

Almost surely, 252642986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52642986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58892400).

52642986 is an abundant number, since it is smaller than the sum of its proper divisors (65141814).

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

52642986 is a wasteful number, since it uses less digits than its factorization.

52642986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1304 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 52642986 is about 7255.5486353549. The cubic root of 52642986 is about 374.7832489637.

It can be divided in two parts, 52642 and 986, that added together give a triangular number (53628 = T327).

The spelling of 52642986 in words is "fifty-two million, six hundred forty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 59 66 118 121 177 242 354 363 649 726 1229 1298 1947 2458 3687 3894 7139 7374 13519 14278 21417 27038 40557 42834 72511 81114 145022 148709 217533 297418 435066 446127 797621 892254 1595242 2392863 4785726 8773831 17547662 26321493 52642986