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642642033 = 31189218809
BaseRepresentation
bin100110010011011…
…111000001110001
31122210020121010210
4212103133001301
52304004021113
6143434014333
721632236635
oct4623370161
91583217123
10642642033
112aa833520
1215b2773a9
13a31a8b77
14614c6dc5
153b6426c3
hex264df071

642642033 has 16 divisors (see below), whose sum is σ = 945259200. Its totient is φ = 385102080.

The previous prime is 642642031. The next prime is 642642079. The reversal of 642642033 is 330246246.

It is a happy number.

642642033 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 642642033 - 21 = 642642031 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (642642031) 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, 106468 + ... + 112341.

It is an arithmetic number, because the mean of its divisors is an integer number (59078700).

Almost surely, 2642642033 is an apocalyptic number.

It is an amenable number.

642642033 is a deficient number, since it is larger than the sum of its proper divisors (302617167).

642642033 is a wasteful number, since it uses less digits than its factorization.

642642033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218912.

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 642642033 is about 25350.3852633446. The cubic root of 642642033 is about 862.9580995157.

Adding to 642642033 its reverse (330246246), we get a palindrome (972888279).

The spelling of 642642033 in words is "six hundred forty-two million, six hundred forty-two thousand, thirty-three".

Divisors: 1 3 11 33 89 267 979 2937 218809 656427 2406899 7220697 19474001 58422003 214214011 642642033