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58085940 = 2235111731167
BaseRepresentation
bin1101110110010…
…1001000110100
311001022001221010
43131211020310
5104332222230
65432552220
71303502523
oct335451064
9131261833
1058085940
112a873910
1217552670
13c0599a3
147a004ba
1551759b0
hex3765234

58085940 has 192 divisors, whose sum is σ = 195084288. Its totient is φ = 12748800.

The previous prime is 58085899. The next prime is 58085953. The reversal of 58085940 is 4958085.

58085940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 347737 + ... + 347903.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 258085940 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 58085940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542144).

58085940 is an abundant number, since it is smaller than the sum of its proper divisors (136998348).

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

58085940 is a wasteful number, since it uses less digits than its factorization.

58085940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 58085940 is about 7621.4132547711. The cubic root of 58085940 is about 387.2787554241.

The spelling of 58085940 in words is "fifty-eight million, eighty-five thousand, nine hundred forty".