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42185401 = 292103487
BaseRepresentation
bin1010000011101…
…1001010111001
32221101020111021
42200323022321
541244413101
64104102441
71021366336
oct240731271
987336437
1042185401
11218a3575
1212164a21
13898049b
14586198d
153a845a1
hex283b2b9

42185401 has 12 divisors (see below), whose sum is σ = 44204992. Its totient is φ = 40252464.

The previous prime is 42185399. The next prime is 42185417. The reversal of 42185401 is 10458124.

42185401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42185401 - 21 = 42185399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42185471) 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 11 ways as a sum of consecutive naturals, for example, 86380 + ... + 86866.

Almost surely, 242185401 is an apocalyptic number.

It is an amenable number.

42185401 is a deficient number, since it is larger than the sum of its proper divisors (2019591).

42185401 is a wasteful number, since it uses less digits than its factorization.

42185401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 42185401 is about 6495.0289452781. The cubic root of 42185401 is about 348.1133889763.

The spelling of 42185401 in words is "forty-two million, one hundred eighty-five thousand, four hundred one".

Divisors: 1 29 103 487 841 2987 14123 50161 86623 409567 1454669 42185401