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427938093 = 331117131647
BaseRepresentation
bin11001100000011…
…101000100101101
31002211020111201000
4121200131010231
51334023004333
6110244110513
713414261632
oct3140350455
91084214630
10427938093
111aa618250
12bb395439
136a873c0b
1440b98189
1527881713
hex1981d12d

427938093 has 64 divisors (see below), whose sum is σ = 739031040. Its totient is φ = 241862400.

The previous prime is 427938079. The next prime is 427938109. The reversal of 427938093 is 390839724.

It is a happy number.

It is not a de Polignac number, because 427938093 - 25 = 427938061 is a prime.

It is a super-2 number, since 2×4279380932 = 366262022880953298, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427938053) by changing a digit.

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, 661096 + ... + 661742.

It is an arithmetic number, because the mean of its divisors is an integer number (11547360).

Almost surely, 2427938093 is an apocalyptic number.

It is an amenable number.

427938093 is a deficient number, since it is larger than the sum of its proper divisors (311092947).

427938093 is a wasteful number, since it uses less digits than its factorization.

427938093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 427938093 is about 20686.6646175743. The cubic root of 427938093 is about 753.5758677970.

The spelling of 427938093 in words is "four hundred twenty-seven million, nine hundred thirty-eight thousand, ninety-three".

Divisors: 1 3 9 11 17 27 33 51 99 131 153 187 297 393 459 561 647 1179 1441 1683 1941 2227 3537 4323 5049 5823 6681 7117 10999 12969 17469 20043 21351 24497 32997 38907 60129 64053 73491 84757 98991 120989 192159 220473 254271 296973 362967 661419 762813 932327 1088901 1440869 2288439 2796981 3266703 4322607 8390943 12967821 15849559 25172829 38903463 47548677 142646031 427938093