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53448384 = 2631125307
BaseRepresentation
bin1100101111100…
…0111011000000
310201120110101210
43023320323000
5102140322014
65145330120
71216206123
oct313707300
9121513353
1053448384
1128196620
1215a96940
13b0c4b82
1471543ba
154a5b859
hex32f8ec0

53448384 has 56 divisors (see below), whose sum is σ = 154277568. Its totient is φ = 16195840.

The previous prime is 53448359. The next prime is 53448397. The reversal of 53448384 is 48384435.

It is a happy number.

53448384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×534483842 = 5713459504422912, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 10542 + ... + 14765.

Almost surely, 253448384 is an apocalyptic number.

It is an amenable number.

53448384 is an abundant number, since it is smaller than the sum of its proper divisors (100829184).

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

53448384 is a wasteful number, since it uses less digits than its factorization.

53448384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25333 (or 25323 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 53448384 is about 7310.8401705960. The cubic root of 53448384 is about 376.6848842139.

The spelling of 53448384 in words is "fifty-three million, four hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 25307 50614 75921 101228 151842 202456 278377 303684 404912 556754 607368 809824 835131 1113508 1214736 1619648 1670262 2227016 2429472 3340524 4454032 4858944 6681048 8908064 13362096 17816128 26724192 53448384