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53504640 = 2732571327
BaseRepresentation
bin1100110000011…
…0101010000000
310201200022120100
43030012222000
5102144122030
65150442400
71216532130
oct314065200
9121608510
1053504640
1128224912
1215b03400
13b114667
14716aac0
154a6d360
hex3306a80

53504640 has 192 divisors, whose sum is σ = 211311360. Its totient is φ = 12220416.

The previous prime is 53504621. The next prime is 53504653. The reversal of 53504640 is 4640535.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39657 + ... + 40983.

It is an arithmetic number, because the mean of its divisors is an integer number (1100580).

Almost surely, 253504640 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 53504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105655680).

53504640 is an abundant number, since it is smaller than the sum of its proper divisors (157806720).

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

53504640 is a wasteful number, since it uses less digits than its factorization.

53504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53504640 is about 7314.6865961571. The cubic root of 53504640 is about 376.8169951900.

The spelling of 53504640 in words is "fifty-three million, five hundred four thousand, six hundred forty".