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52814520 = 233251113337
BaseRepresentation
bin1100100101111…
…0001010111000
310200101020220100
43021132022320
5102010031040
65123555400
71210626123
oct311361270
9120336810
1052814520
11278a3370
121582bb60
13ac324c5
14702b3ba
154983b30
hex325e2b8

52814520 has 96 divisors (see below), whose sum is σ = 187265520. Its totient is φ = 12802560.

The previous prime is 52814513. The next prime is 52814521. The reversal of 52814520 is 2541825.

It is a happy number.

52814520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52814521) 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, 2709 + ... + 10628.

Almost surely, 252814520 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 52814520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93632760).

52814520 is an abundant number, since it is smaller than the sum of its proper divisors (134451000).

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

52814520 is a wasteful number, since it uses less digits than its factorization.

52814520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 52814520 is about 7267.3599057705. The cubic root of 52814520 is about 375.1898771749.

It can be divided in two parts, 5281 and 4520, that added together give a square (9801 = 992).

The spelling of 52814520 in words is "fifty-two million, eight hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 13337 26674 40011 53348 66685 80022 106696 120033 133370 146707 160044 200055 240066 266740 293414 320088 400110 440121 480132 533480 586828 600165 733535 800220 880242 960264 1173656 1200330 1320363 1467070 1600440 1760484 2200605 2400660 2640726 2934140 3520968 4401210 4801320 5281452 5868280 6601815 8802420 10562904 13203630 17604840 26407260 52814520