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53814528 = 283223357
BaseRepresentation
bin1100110101001…
…0010100000000
310202021001122200
43031102110000
5102234031103
65201233200
71222262445
oct315222400
9122231580
1053814528
1128416719
1216032800
13b1c2721
14720b9cc
154ad00a3
hex3352500

53814528 has 54 divisors (see below), whose sum is σ = 155167194. Its totient is φ = 17937408.

The previous prime is 53814511. The next prime is 53814569. The reversal of 53814528 is 82541835.

It is a happy number.

53814528 is a `hidden beast` number, since 53 + 81 + 4 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51151104 + 2663424 = 7152^2 + 1632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53814492 and 53814501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9375 + ... + 13982.

Almost surely, 253814528 is an apocalyptic number.

It is an amenable number.

53814528 is an abundant number, since it is smaller than the sum of its proper divisors (101352666).

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

53814528 is a wasteful number, since it uses less digits than its factorization.

53814528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23379 (or 23362 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 53814528 is about 7335.8386023685. The cubic root of 53814528 is about 377.5430776974.

The spelling of 53814528 in words is "fifty-three million, eight hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 23357 46714 70071 93428 140142 186856 210213 280284 373712 420426 560568 747424 840852 1121136 1494848 1681704 2242272 2989696 3363408 4484544 5979392 6726816 8969088 13453632 17938176 26907264 53814528