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42590601 = 3247107941
BaseRepresentation
bin1010001001111…
…0000110001001
32222010211022200
42202132012021
541400344401
64120510413
71025004564
oct242360611
988124280
1042590601
112204aa49
121231b409
138a92a51
1459294db
153b14686
hex289e189

42590601 has 24 divisors (see below), whose sum is σ = 63483264. Its totient is φ = 27500640.

The previous prime is 42590591. The next prime is 42590617. The reversal of 42590601 is 10609524.

42590601 is a `hidden beast` number, since 4 + 2 + 59 + 0 + 601 = 666.

It is not a de Polignac number, because 42590601 - 213 = 42582409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42590671) 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, 44791 + ... + 45731.

It is an arithmetic number, because the mean of its divisors is an integer number (2645136).

Almost surely, 242590601 is an apocalyptic number.

It is an amenable number.

42590601 is a deficient number, since it is larger than the sum of its proper divisors (20892663).

42590601 is a wasteful number, since it uses less digits than its factorization.

42590601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42590601 is about 6526.1474853086. The cubic root of 42590601 is about 349.2244077443.

The spelling of 42590601 in words is "forty-two million, five hundred ninety thousand, six hundred one".

Divisors: 1 3 9 47 107 141 321 423 941 963 2823 5029 8469 15087 44227 45261 100687 132681 302061 398043 906183 4732289 14196867 42590601