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53924864 = 21077523
BaseRepresentation
bin1100110110110…
…1010000000000
310202110200000012
43031231100000
5102301043424
65203444052
71223232230
oct315552000
9122420005
1053924864
1128491604
1216086628
13b230a06
147239cc0
154b02b0e
hex336d400

53924864 has 44 divisors (see below), whose sum is σ = 123213024. Its totient is φ = 23107584.

The previous prime is 53924863. The next prime is 53924917. The reversal of 53924864 is 46842935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53924863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3407 + ... + 10929.

It is an arithmetic number, because the mean of its divisors is an integer number (2800296).

Almost surely, 253924864 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 53924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61606512).

53924864 is an abundant number, since it is smaller than the sum of its proper divisors (69288160).

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

53924864 is an equidigital number, since it uses as much as digits as its factorization.

53924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7550 (or 7532 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 53924864 is about 7343.3550915096. The cubic root of 53924864 is about 377.8009272499.

The spelling of 53924864 in words is "fifty-three million, nine hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 7523 15046 30092 52661 60184 105322 120368 210644 240736 421288 481472 842576 962944 1685152 1925888 3370304 3851776 6740608 7703552 13481216 26962432 53924864