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3800133 = 321971313
BaseRepresentation
bin1110011111110001000101
321011001210200
432133301011
51433101013
6213241113
744205051
oct16376105
97131720
103800133
112166107
121333199
13a308cc
1470cc61
15500e73
hex39fc45

3800133 has 24 divisors (see below), whose sum is σ = 5878080. Its totient is φ = 2358720.

The previous prime is 3800119. The next prime is 3800149. The reversal of 3800133 is 3310083.

It is not a de Polignac number, because 3800133 - 28 = 3799877 is a prime.

3800133 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3800113) 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 23 ways as a sum of consecutive naturals, for example, 11985 + ... + 12297.

It is an arithmetic number, because the mean of its divisors is an integer number (244920).

Almost surely, 23800133 is an apocalyptic number.

It is an amenable number.

3800133 is a deficient number, since it is larger than the sum of its proper divisors (2077947).

3800133 is a wasteful number, since it uses less digits than its factorization.

3800133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3800133 is about 1949.3929824435. The cubic root of 3800133 is about 156.0508956221.

The spelling of 3800133 in words is "three million, eight hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 19 57 71 171 213 313 639 939 1349 2817 4047 5947 12141 17841 22223 53523 66669 200007 422237 1266711 3800133