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53884368 = 24321093433
BaseRepresentation
bin1100110110001…
…1010111010000
310202101121110100
43031203113100
5102243244433
65202532400
71223003166
oct315432720
9122347410
1053884368
112846413a
1216067100
13b218455
147229236
154ae5b13
hex33635d0

53884368 has 60 divisors (see below), whose sum is σ = 152229220. Its totient is φ = 17791488.

The previous prime is 53884367. The next prime is 53884393. The reversal of 53884368 is 86348835.

53884368 is a `hidden beast` number, since 538 + 84 + 36 + 8 = 666.

53884368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27751824 + 26132544 = 5268^2 + 5112^2 .

It is a super-2 number, since 2×538843682 = 5807050229518848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53884367) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13980 + ... + 17412.

Almost surely, 253884368 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 53884368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76114610).

53884368 is an abundant number, since it is smaller than the sum of its proper divisors (98344852).

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

53884368 is a wasteful number, since it uses less digits than its factorization.

53884368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3547 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 53884368 is about 7340.5972509054. The cubic root of 53884368 is about 377.7063310740.

The spelling of 53884368 in words is "fifty-three million, eight hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3433 3924 5232 6866 7848 10299 13732 15696 20598 27464 30897 41196 54928 61794 82392 123588 164784 247176 374197 494352 748394 1122591 1496788 2245182 2993576 3367773 4490364 5987152 6735546 8980728 13471092 17961456 26942184 53884368