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42241617 = 321117191321
BaseRepresentation
bin1010000100100…
…0111001010001
32221111002121100
42201020321101
541303212432
64105215013
71022022255
oct241107121
987432540
1042241617
1121931830
1212191469
13899cc52
145878265
153a9607c
hex2848e51

42241617 has 48 divisors (see below), whose sum is σ = 74243520. Its totient is φ = 22809600.

The previous prime is 42241607. The next prime is 42241627. The reversal of 42241617 is 71614224.

42241617 is a `hidden beast` number, since 4 + 2 + 2 + 41 + 617 = 666.

It is an interprime number because it is at equal distance from previous prime (42241607) and next prime (42241627).

It is not a de Polignac number, because 42241617 - 28 = 42241361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42241607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31317 + ... + 32637.

It is an arithmetic number, because the mean of its divisors is an integer number (1546740).

Almost surely, 242241617 is an apocalyptic number.

It is an amenable number.

42241617 is a deficient number, since it is larger than the sum of its proper divisors (32001903).

42241617 is a wasteful number, since it uses less digits than its factorization.

42241617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1371 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42241617 is about 6499.3551218563. The cubic root of 42241617 is about 348.2679515777.

The spelling of 42241617 in words is "forty-two million, two hundred forty-one thousand, six hundred seventeen".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 323 561 627 969 1321 1683 1881 2907 3553 3963 10659 11889 14531 22457 25099 31977 43593 67371 75297 130779 202113 225891 247027 276089 426683 741081 828267 1280049 2223243 2484801 3840147 4693513 14080539 42241617