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442004133 = 32383113683
BaseRepresentation
bin11010010110000…
…111001010100101
31010210201010200110
4122112013022211
51401123113013
6111505403233
713644654534
oct3226071245
91123633613
10442004133
1120755527a
12104039519
137075a40c
14429ba31b
1528c0e2c3
hex1a5872a5

442004133 has 32 divisors (see below), whose sum is σ = 628798464. Its totient is φ = 275593472.

The previous prime is 442004119. The next prime is 442004137. The reversal of 442004133 is 331400244.

It is a cyclic number.

It is not a de Polignac number, because 442004133 - 210 = 442003109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442004137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646810 + ... + 647492.

It is an arithmetic number, because the mean of its divisors is an integer number (19649952).

Almost surely, 2442004133 is an apocalyptic number.

It is an amenable number.

442004133 is a deficient number, since it is larger than the sum of its proper divisors (186794331).

442004133 is a wasteful number, since it uses less digits than its factorization.

442004133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 442004133 is about 21023.8943347801. The cubic root of 442004133 is about 761.7435345675.

Adding to 442004133 its reverse (331400244), we get a palindrome (773404377).

The spelling of 442004133 in words is "four hundred forty-two million, four thousand, one hundred thirty-three".

Divisors: 1 3 23 69 83 113 249 339 683 1909 2049 2599 5727 7797 9379 15709 28137 47127 56689 77179 170067 215717 231537 647151 1303847 1775117 3911541 5325351 6405857 19217571 147334711 442004133