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53397744 = 2434143631
BaseRepresentation
bin1100101110110…
…0100011110000
310201110212221020
43023230203300
5102132211434
65144255440
71215605361
oct313544360
9121425836
1053397744
1128161574
1215a71580
13b0a7aca
14713db68
154a4b849
hex32ec8f0

53397744 has 80 divisors (see below), whose sum is σ = 144824064. Its totient is φ = 16934400.

The previous prime is 53397737. The next prime is 53397761. The reversal of 53397744 is 44779335.

53397744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (317520) is a multiple of the sum of its prime divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 53397696 and 53397705.

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 15 ways as a sum of consecutive naturals, for example, 84309 + ... + 84939.

Almost surely, 253397744 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 53397744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72412032).

53397744 is an abundant number, since it is smaller than the sum of its proper divisors (91426320).

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

53397744 is a wasteful number, since it uses less digits than its factorization.

53397744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 53397744 is about 7307.3759996322. The cubic root of 53397744 is about 376.5658824866.

The spelling of 53397744 in words is "fifty-three million, three hundred ninety-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 43 48 82 86 123 129 164 172 246 258 328 344 492 516 631 656 688 984 1032 1262 1763 1893 1968 2064 2524 3526 3786 5048 5289 7052 7572 10096 10578 14104 15144 21156 25871 27133 28208 30288 42312 51742 54266 77613 81399 84624 103484 108532 155226 162798 206968 217064 310452 325596 413936 434128 620904 651192 1112453 1241808 1302384 2224906 3337359 4449812 6674718 8899624 13349436 17799248 26698872 53397744