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53408520 = 233251113487
BaseRepresentation
bin1100101110111…
…1001100001000
310201111102201100
43023233030020
5102133033040
65144421400
71215651654
oct313571410
9121442640
1053408520
1128169680
1215a77860
13b0ac999
147143a64
154a4eb30
hex32ef308

53408520 has 96 divisors (see below), whose sum is σ = 189371520. Its totient is φ = 12946560.

The previous prime is 53408419. The next prime is 53408521. The reversal of 53408520 is 2580435.

53408520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53408521) 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, 2784 + ... + 10703.

It is an arithmetic number, because the mean of its divisors is an integer number (1972620).

Almost surely, 253408520 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 53408520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94685760).

53408520 is an abundant number, since it is smaller than the sum of its proper divisors (135963000).

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

53408520 is a wasteful number, since it uses less digits than its factorization.

53408520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13515 (or 13508 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53408520 is about 7308.1132996143. The cubic root of 53408520 is about 376.5912119026.

Adding to 53408520 its reverse (2580435), we get a palindrome (55988955).

The spelling of 53408520 in words is "fifty-three million, four hundred eight 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 13487 26974 40461 53948 67435 80922 107896 121383 134870 148357 161844 202305 242766 269740 296714 323688 404610 445071 485532 539480 593428 606915 741785 809220 890142 971064 1186856 1213830 1335213 1483570 1618440 1780284 2225355 2427660 2670426 2967140 3560568 4450710 4855320 5340852 5934280 6676065 8901420 10681704 13352130 17802840 26704260 53408520