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53466336 = 25327112411
BaseRepresentation
bin1100101111110…
…1010011100000
310201121101000200
43023331103200
5102141410321
65145545200
71216312350
oct313752340
9121541020
1053466336
11281a9060
1215aa5200
13b1000b1
14715ab60
154a61d26
hex32fd4e0

53466336 has 144 divisors (see below), whose sum is σ = 189641088. Its totient is φ = 13881600.

The previous prime is 53466313. The next prime is 53466349. The reversal of 53466336 is 63366435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53466336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20971 + ... + 23381.

It is an arithmetic number, because the mean of its divisors is an integer number (1316952).

Almost surely, 253466336 is an apocalyptic number.

53466336 is a gapful number since it is divisible by the number (56) 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 53466336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94820544).

53466336 is an abundant number, since it is smaller than the sum of its proper divisors (136174752).

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

53466336 is a wasteful number, since it uses less digits than its factorization.

53466336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2434 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 53466336 is about 7312.0678333834. The cubic root of 53466336 is about 376.7270525614.

Subtracting 53466336 from its reverse (63366435), we obtain a palindrome (9900099).

The spelling of 53466336 in words is "fifty-three million, four hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2411 2464 2772 3168 3696 4822 5544 7233 7392 9644 11088 14466 16877 19288 21699 22176 26521 28932 33754 38576 43398 50631 53042 57864 67508 77152 79563 86796 101262 106084 115728 135016 151893 159126 173592 185647 202524 212168 231456 238689 270032 303786 318252 347184 371294 405048 424336 477378 540064 556941 607572 636504 694368 742588 810096 848672 954756 1113882 1215144 1273008 1485176 1620192 1670823 1909512 2227764 2430288 2546016 2970352 3341646 3819024 4455528 4860576 5940704 6683292 7638048 8911056 13366584 17822112 26733168 53466336