Search a number
-
+
52010064 = 24323161191
BaseRepresentation
bin1100011001100…
…1110001010000
310121212101101200
43012121301100
5101303310224
65054431200
71201035561
oct306316120
9117771350
1052010064
11273a3a27
1215502500
13aa102b2
146c9c168
1548755c9
hex3199c50

52010064 has 120 divisors (see below), whose sum is σ = 153513984. Its totient is φ = 16416000.

The previous prime is 52010039. The next prime is 52010069. The reversal of 52010064 is 46001025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52010069) by changing a digit.

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, 272209 + ... + 272399.

Almost surely, 252010064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52010064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76756992).

52010064 is an abundant number, since it is smaller than the sum of its proper divisors (101503920).

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

52010064 is a wasteful number, since it uses less digits than its factorization.

52010064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52010064 is about 7211.8003300147. The cubic root of 52010064 is about 373.2751936107.

Adding to 52010064 its reverse (46001025), we get a palindrome (98011089).

The spelling of 52010064 in words is "fifty-two million, ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 61 62 72 93 122 124 144 183 186 191 244 248 279 366 372 382 488 496 549 558 573 732 744 764 976 1098 1116 1146 1464 1488 1528 1719 1891 2196 2232 2292 2928 3056 3438 3782 4392 4464 4584 5673 5921 6876 7564 8784 9168 11346 11651 11842 13752 15128 17019 17763 22692 23302 23684 27504 30256 34038 34953 35526 45384 46604 47368 53289 68076 69906 71052 90768 93208 94736 104859 106578 136152 139812 142104 186416 209718 213156 272304 279624 284208 361181 419436 426312 559248 722362 838872 852624 1083543 1444724 1677744 2167086 2889448 3250629 4334172 5778896 6501258 8668344 13002516 17336688 26005032 52010064