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52013808 = 24327114691
BaseRepresentation
bin1100011001101…
…0101011110000
310121212120112100
43012122223300
5101303420213
65054500400
71201052520
oct306325360
9117776470
1052013808
11273a6820
1215504700
13aa11c02
146c9d680
154876773
hex319aaf0

52013808 has 120 divisors (see below), whose sum is σ = 181524096. Its totient is φ = 13507200.

The previous prime is 52013803. The next prime is 52013813. The reversal of 52013808 is 80831025.

It is a happy number.

52013808 is a `hidden beast` number, since 520 + 138 + 0 + 8 = 666.

52013808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52013803) and next prime (52013813).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52013803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8743 + ... + 13433.

Almost surely, 252013808 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 52013808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90762048).

52013808 is an abundant number, since it is smaller than the sum of its proper divisors (129510288).

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

52013808 is a wasteful number, since it uses less digits than its factorization.

52013808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52013808 is about 7212.0598999176. The cubic root of 52013808 is about 373.2841502669.

It can be divided in two parts, 5201 and 3808, that added together give a palindrome (9009).

The spelling of 52013808 in words is "fifty-two million, thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 4691 5544 9382 11088 14073 18764 28146 32837 37528 42219 51601 56292 65674 75056 84438 98511 103202 112584 131348 154803 168876 197022 206404 225168 262696 295533 309606 337752 361207 394044 412808 464409 525392 591066 619212 675504 722414 788088 825616 928818 1083621 1182132 1238424 1444828 1576176 1857636 2167242 2364264 2476848 2889656 3250863 3715272 4334484 4728528 5779312 6501726 7430544 8668968 13003452 17337936 26006904 52013808