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53814144 = 273353397
BaseRepresentation
bin1100110101001…
…0001110000000
310202021001010110
43031102032000
5102234023034
65201231320
71222261356
oct315221600
9122231113
1053814144
11284163aa
1216032540
13b1c24b7
14720b7d6
154acede9
hex3352380

53814144 has 64 divisors (see below), whose sum is σ = 143709840. Its totient is φ = 17842176.

The previous prime is 53814127. The next prime is 53814151. The reversal of 53814144 is 44141835.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135354 + ... + 135750.

Almost surely, 253814144 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 53814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71854920).

53814144 is an abundant number, since it is smaller than the sum of its proper divisors (89895696).

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

53814144 is a wasteful number, since it uses less digits than its factorization.

53814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 53814144 is about 7335.8124294450. The cubic root of 53814144 is about 377.5421796940.

Adding to 53814144 its reverse (44141835), we get a palindrome (97955979).

The spelling of 53814144 in words is "fifty-three million, eight hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 353 384 397 706 794 1059 1191 1412 1588 2118 2382 2824 3176 4236 4764 5648 6352 8472 9528 11296 12704 16944 19056 22592 25408 33888 38112 45184 50816 67776 76224 135552 140141 152448 280282 420423 560564 840846 1121128 1681692 2242256 3363384 4484512 6726768 8969024 13453536 17938048 26907072 53814144