Search a number
-
+
52013664 = 25356689
BaseRepresentation
bin1100011001101…
…0101001100000
310121212120100000
43012122221200
5101303414124
65054500000
71201052223
oct306325140
9117776300
1052013664
11273a66aa
1215504600
13aa11b21
146c9d5ba
1548766c9
hex319aa60

52013664 has 72 divisors (see below), whose sum is σ = 153415080. Its totient is φ = 17335296.

The previous prime is 52013657. The next prime is 52013669. The reversal of 52013664 is 46631025.

Adding to 52013664 its reverse (46631025), we get a palindrome (98644689).

52013664 is a `hidden beast` number, since 520 + 136 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52013669) 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 11 ways as a sum of consecutive naturals, for example, 4432 + ... + 11120.

It is an arithmetic number, because the mean of its divisors is an integer number (2130765).

Almost surely, 252013664 is an apocalyptic number.

52013664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52013664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76707540).

52013664 is an abundant number, since it is smaller than the sum of its proper divisors (101401416).

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

52013664 is an equidigital number, since it uses as much as digits as its factorization.

52013664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52013664 is about 7212.0499166326. The cubic root of 52013664 is about 373.2838057881.

The spelling of 52013664 in words is "fifty-two million, thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 6689 7776 13378 20067 26756 40134 53512 60201 80268 107024 120402 160536 180603 214048 240804 321072 361206 481608 541809 642144 722412 963216 1083618 1444824 1625427 1926432 2167236 2889648 3250854 4334472 5779296 6501708 8668944 13003416 17337888 26006832 52013664