[go: up one dir, main page]

Search a number
-
+
5009004 = 223271113139
BaseRepresentation
bin10011000110111001101100
3100102111001200
4103012321230
52240242004
6255205500
760401340
oct23067154
910374050
105009004
112911380
121816890
131064c10
14945620
1568e239
hex4c6e6c

5009004 has 144 divisors (see below), whose sum is σ = 17122560. Its totient is φ = 1192320.

The previous prime is 5009003. The next prime is 5009021. The reversal of 5009004 is 4009005.

Added to its reverse (4009005) it gives a square (9018009 = 30032).

5009004 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

5009004 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (5009003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35967 + ... + 36105.

Almost surely, 25009004 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 5009004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561280).

5009004 is an abundant number, since it is smaller than the sum of its proper divisors (12113556).

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

5009004 is a wasteful number, since it uses less digits than its factorization.

5009004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5009004 is about 2238.0804275093. The cubic root of 5009004 is about 171.1001772715.

Adding to 5009004 its reverse (4009005), we get a square (9018009 = 30032).

Subtracting from 5009004 its reverse (4009005), we obtain a palindrome (999999).

The spelling of 5009004 in words is "five million, nine thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 139 143 154 156 182 198 231 234 252 273 278 286 308 364 396 417 429 462 468 546 556 572 693 819 834 858 924 973 1001 1092 1251 1287 1386 1529 1638 1668 1716 1807 1946 2002 2502 2574 2772 2919 3003 3058 3276 3614 3892 4004 4587 5004 5148 5421 5838 6006 6116 7228 8757 9009 9174 10703 10842 11676 12012 12649 13761 16263 17514 18018 18348 19877 21406 21684 25298 27522 32109 32526 35028 36036 37947 39754 42812 50596 55044 59631 64218 65052 75894 79508 96327 113841 119262 128436 139139 151788 178893 192654 227682 238524 278278 357786 385308 417417 455364 556556 715572 834834 1252251 1669668 2504502 5009004