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42960258 = 232111712763
BaseRepresentation
bin1010001111100…
…0010110000010
32222211121101200
42203320112002
541444212013
64132442030
71031104365
oct243702602
988747350
1042960258
1122282750
1212479316
138b92093
1459c40dc
153b88e73
hex28f8582

42960258 has 48 divisors (see below), whose sum is σ = 107523936. Its totient is φ = 12251520.

The previous prime is 42960221. The next prime is 42960259. The reversal of 42960258 is 85206924.

It is a happy number.

42960258 is a `hidden beast` number, since 42 + 9 + 602 + 5 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42960259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3016 + ... + 9747.

It is an arithmetic number, because the mean of its divisors is an integer number (2240082).

Almost surely, 242960258 is an apocalyptic number.

42960258 is an abundant number, since it is smaller than the sum of its proper divisors (64563678).

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

42960258 is a wasteful number, since it uses less digits than its factorization.

42960258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12799 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42960258 is about 6554.4075247119. The cubic root of 42960258 is about 350.2318409518.

The spelling of 42960258 in words is "forty-two million, nine hundred sixty thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 12763 25526 38289 76578 114867 140393 216971 229734 280786 421179 433942 650913 842358 1263537 1301826 1952739 2386681 2527074 3905478 4773362 7160043 14320086 21480129 42960258