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5004324 = 22321317237
BaseRepresentation
bin10011000101110000100100
3100102020122100
4103011300210
52240114244
6255132100
760351603
oct23056044
910366570
105004324
112908906
121814030
131062a50
14943a3a
1568cb69
hex4c5c24

5004324 has 108 divisors (see below), whose sum is σ = 14862484. Its totient is φ = 1410048.

The previous prime is 5004323. The next prime is 5004359. The reversal of 5004324 is 4234005.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 518400 + 4485924 = 720^2 + 2118^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5004297 and 5004306.

It is not an unprimeable number, because it can be changed into a prime (5004323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135234 + ... + 135270.

Almost surely, 25004324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5004324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431242).

5004324 is an abundant number, since it is smaller than the sum of its proper divisors (9858160).

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

5004324 is a wasteful number, since it uses less digits than its factorization.

5004324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5004324 is about 2237.0346443451. The cubic root of 5004324 is about 171.0468733716.

Adding to 5004324 its reverse (4234005), we get a palindrome (9238329).

The spelling of 5004324 in words is "five million, four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 37 39 51 52 68 74 78 102 111 117 148 153 156 204 221 222 234 289 306 333 442 444 468 481 578 612 629 663 666 867 884 962 1156 1258 1326 1332 1443 1734 1887 1924 1989 2516 2601 2652 2886 3468 3757 3774 3978 4329 5202 5661 5772 7514 7548 7956 8177 8658 10404 10693 11271 11322 15028 16354 17316 21386 22542 22644 24531 32079 32708 33813 42772 45084 49062 64158 67626 73593 96237 98124 128316 135252 139009 147186 192474 278018 294372 384948 417027 556036 834054 1251081 1668108 2502162 5004324