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58141440 = 2832572103
BaseRepresentation
bin1101110111001…
…0101100000000
311001101220001200
43131302230000
5104341011230
65434101200
71304123400
oct335625400
9131356050
1058141440
112a901585
121757a800
13c079026
147a16800
155187160
hex3772b00

58141440 has 324 divisors, whose sum is σ = 236278224. Its totient is φ = 13160448.

The previous prime is 58141427. The next prime is 58141441. The reversal of 58141440 is 4414185.

It is a happy number.

58141440 is a `hidden beast` number, since 581 + 41 + 4 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (58141441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564429 + ... + 564531.

Almost surely, 258141440 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 58141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118139112).

58141440 is an abundant number, since it is smaller than the sum of its proper divisors (178136784).

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

58141440 is a wasteful number, since it uses less digits than its factorization.

58141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 58141440 is about 7625.0534424357. The cubic root of 58141440 is about 387.4020619641.

The spelling of 58141440 in words is "fifty-eight million, one hundred forty-one thousand, four hundred forty".