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53665416 = 2334711831
BaseRepresentation
bin1100110010110…
…1111010001000
310201222111010000
43030231322020
5102214243131
65154123000
71221101640
oct314557210
9121874100
1053665416
1128324692
1215b80460
13b16c8ac
1471ad520
154aa0ce6
hex332de88

53665416 has 80 divisors (see below), whose sum is σ = 171800640. Its totient is φ = 15331680.

The previous prime is 53665373. The next prime is 53665427. The reversal of 53665416 is 61456635.

53665416 is a `hidden beast` number, since 53 + 66 + 541 + 6 = 666.

53665416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 19 ways as a sum of consecutive naturals, for example, 1380 + ... + 10451.

It is an arithmetic number, because the mean of its divisors is an integer number (2147508).

Almost surely, 253665416 is an apocalyptic number.

53665416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53665416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85900320).

53665416 is an abundant number, since it is smaller than the sum of its proper divisors (118135224).

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

53665416 is a wasteful number, since it uses less digits than its factorization.

53665416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11843 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 53665416 is about 7325.6682971590. The cubic root of 53665416 is about 377.1940500166.

The spelling of 53665416 in words is "fifty-three million, six hundred sixty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 11831 23662 35493 47324 70986 82817 94648 106479 141972 165634 212958 248451 283944 319437 331268 425916 496902 638874 662536 745353 851832 958311 993804 1277748 1490706 1916622 1987608 2236059 2555496 2981412 3833244 4472118 5962824 6708177 7666488 8944236 13416354 17888472 26832708 53665416