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52674336 = 253211131279
BaseRepresentation
bin1100100011101…
…1111100100000
310200010010121100
43020323330200
5101441034321
65120554400
71206503331
oct310737440
9120103540
1052674336
1127808010
1215782a00
13abb3760
146dd2288
154957326
hex323bf20

52674336 has 144 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 14722560.

The previous prime is 52674329. The next prime is 52674341. The reversal of 52674336 is 63347625.

52674336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 52674336.

It is a congruent number.

It is an unprimeable number.

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, 40545 + ... + 41823.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 252674336 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 52674336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

52674336 is an abundant number, since it is smaller than the sum of its proper divisors (123443424).

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

52674336 is a wasteful number, since it uses less digits than its factorization.

52674336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 52674336 is about 7257.7087293443. The cubic root of 52674336 is about 374.8576312899.

Subtracting 52674336 from its reverse (63347625), we obtain a square (10673289 = 32672).

The spelling of 52674336 in words is "fifty-two million, six hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1279 1287 1584 1716 1872 2288 2558 2574 3168 3432 3744 3837 4576 5116 5148 6864 7674 10232 10296 11511 13728 14069 15348 16627 20464 20592 23022 28138 30696 33254 40928 41184 42207 46044 49881 56276 61392 66508 84414 92088 99762 112552 122784 126621 133016 149643 168828 182897 184176 199524 225104 253242 266032 299286 337656 365794 368352 399048 450208 506484 532064 548691 598572 675312 731588 798096 1012968 1097382 1197144 1350624 1463176 1596192 1646073 2025936 2194764 2394288 2926352 3292146 4051872 4389528 4788576 5852704 6584292 8779056 13168584 17558112 26337168 52674336