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642162033 = 3337396361
BaseRepresentation
bin100110010001101…
…001110101110001
31122202100012201000
4212101221311301
52303343141113
6143415432213
721625200342
oct4621516561
91582305630
10642162033
112aa535927
1215b085669
13a306b546
14614000c9
153b59a373
hex26469d71

642162033 has 16 divisors (see below), whose sum is σ = 951755200. Its totient is φ = 427926240.

The previous prime is 642162023. The next prime is 642162071. The reversal of 642162033 is 330261246.

642162033 is a `hidden beast` number, since 6 + 4 + 2 + 1 + 620 + 33 = 666.

642162033 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 642162033 - 29 = 642161521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 642161988 and 642162006.

It is not an unprimeable number, because it can be changed into a prime (642162023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97773 + ... + 104133.

It is an arithmetic number, because the mean of its divisors is an integer number (59484700).

Almost surely, 2642162033 is an apocalyptic number.

It is an amenable number.

642162033 is a deficient number, since it is larger than the sum of its proper divisors (309593167).

642162033 is a wasteful number, since it uses less digits than its factorization.

642162033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 642162033 is about 25340.9161831217. The cubic root of 642162033 is about 862.7431934257.

It can be divided in two parts, 6421 and 62033, that multiplied together give a palindrome (398313893).

The spelling of 642162033 in words is "six hundred forty-two million, one hundred sixty-two thousand, thirty-three".

Divisors: 1 3 9 27 3739 6361 11217 19083 33651 57249 100953 171747 23783779 71351337 214054011 642162033