Search a number
-
+
4004204424 = 2331116790823
BaseRepresentation
bin1110111010101011…
…0100111110001000
3101100001121122211120
43232222310332020
531200034020144
61501155555240
7201141114243
oct35652647610
911301548746
104004204424
1117752a6060
12938bbbb20
134ba76433c
1429db2a25a
15186805e19
hexeeab4f88

4004204424 has 64 divisors (see below), whose sum is σ = 10986071040. Its totient is φ = 1206116160.

The previous prime is 4004204423. The next prime is 4004204453. The reversal of 4004204424 is 4244024004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4004204394 and 4004204403.

It is not an unprimeable number, because it can be changed into a prime (4004204423) 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, 1324 + ... + 89499.

It is an arithmetic number, because the mean of its divisors is an integer number (171657360).

Almost surely, 24004204424 is an apocalyptic number.

4004204424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004204424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493035520).

4004204424 is an abundant number, since it is smaller than the sum of its proper divisors (6981866616).

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

4004204424 is a wasteful number, since it uses less digits than its factorization.

4004204424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91010 (or 91006 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4004204424 is about 63278.7833637784. The cubic root of 4004204424 is about 1587.9570328055.

Adding to 4004204424 its reverse (4244024004), we get a palindrome (8248228428).

The spelling of 4004204424 in words is "four billion, four million, two hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 334 501 668 1002 1336 1837 2004 3674 4008 5511 7348 11022 14696 22044 44088 90823 181646 272469 363292 544938 726584 999053 1089876 1998106 2179752 2997159 3996212 5994318 7992424 11988636 15167441 23977272 30334882 45502323 60669764 91004646 121339528 166841851 182009292 333683702 364018584 500525553 667367404 1001051106 1334734808 2002102212 4004204424