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4004288805 = 351124268417
BaseRepresentation
bin1110111010101100…
…1001100100100101
3101100001202221120210
43232223021210211
531200044220210
61501201450033
7201141615246
oct35653114445
911301687523
104004288805
1117753534a0
12939040919
134ba79387a
1429db4cccd
15186820e20
hexeeac9925

4004288805 has 16 divisors (see below), whose sum is σ = 6989304384. Its totient is φ = 1941473280.

The previous prime is 4004288803. The next prime is 4004288809. The reversal of 4004288805 is 5088824004.

It is not a de Polignac number, because 4004288805 - 21 = 4004288803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004288803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12134044 + ... + 12134373.

It is an arithmetic number, because the mean of its divisors is an integer number (436831524).

Almost surely, 24004288805 is an apocalyptic number.

It is an amenable number.

4004288805 is a deficient number, since it is larger than the sum of its proper divisors (2985015579).

4004288805 is a wasteful number, since it uses less digits than its factorization.

4004288805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24268436.

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 4004288805 is about 63279.4501003288. The cubic root of 4004288805 is about 1587.9681871195.

The spelling of 4004288805 in words is "four billion, four million, two hundred eighty-eight thousand, eight hundred five".

Divisors: 1 3 5 11 15 33 55 165 24268417 72805251 121342085 266952587 364026255 800857761 1334762935 4004288805