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4004434524 = 2231729396679
BaseRepresentation
bin1110111010101110…
…1101001001011100
3101100002001100110210
43232223231021130
531200113401044
61501204532420
7201143063136
oct35653551134
911302040423
104004434524
111775442a22
129390b1110
134ba814cac
1429db8a056
1518684e1b9
hexeeaed25c

4004434524 has 48 divisors (see below), whose sum is σ = 9898156800. Its totient is φ = 1255677696.

The previous prime is 4004434523. The next prime is 4004434531. The reversal of 4004434524 is 4254344004.

It is a junction number, because it is equal to n+sod(n) for n = 4004434491 and 4004434500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004434523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596217 + ... + 602895.

It is an arithmetic number, because the mean of its divisors is an integer number (206211600).

Almost surely, 24004434524 is an apocalyptic number.

It is an amenable number.

4004434524 is an abundant number, since it is smaller than the sum of its proper divisors (5893722276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4004434524 is a wasteful number, since it uses less digits than its factorization.

4004434524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 4004434524 is about 63280.6014826029. The cubic root of 4004434524 is about 1587.9874493273.

Adding to 4004434524 its reverse (4254344004), we get a palindrome (8258778528).

The spelling of 4004434524 in words is "four billion, four million, four hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 2939 5878 6679 8817 11756 13358 17634 20037 26716 35268 40074 49963 80148 99926 113543 149889 199852 227086 299778 340629 454172 599556 681258 1362516 19629581 39259162 58888743 78518324 117777486 235554972 333702877 667405754 1001108631 1334811508 2002217262 4004434524