Search a number
-
+
5040504 = 2332773137
BaseRepresentation
bin10011001110100101111000
3100111002021100
4103032211320
52242244004
6300011400
760562230
oct23164570
910432240
105040504
112933007
121830b60
131076361
14952cc0
15698739
hex4ce978

5040504 has 96 divisors (see below), whose sum is σ = 15930720. Its totient is φ = 1410048.

The previous prime is 5040493. The next prime is 5040523. The reversal of 5040504 is 4050405.

It is a happy number.

5040504 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).

5040504 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36724 + ... + 36860.

It is an arithmetic number, because the mean of its divisors is an integer number (165945).

Almost surely, 25040504 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 5040504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965360).

5040504 is an abundant number, since it is smaller than the sum of its proper divisors (10890216).

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

5040504 is a wasteful number, since it uses less digits than its factorization.

5040504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5040504 is about 2245.1066789799. The cubic root of 5040504 is about 171.4580925350.

Adding to 5040504 its reverse (4050405), we get a palindrome (9090909).

Subtracting from 5040504 its reverse (4050405), we obtain a palindrome (990099).

The spelling of 5040504 in words is "five million, forty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 137 146 168 219 252 274 292 411 438 504 511 548 584 657 822 876 959 1022 1096 1233 1314 1533 1644 1752 1918 2044 2466 2628 2877 3066 3288 3836 4088 4599 4932 5256 5754 6132 7672 8631 9198 9864 10001 11508 12264 17262 18396 20002 23016 30003 34524 36792 40004 60006 69048 70007 80008 90009 120012 140014 180018 210021 240024 280028 360036 420042 560056 630063 720072 840084 1260126 1680168 2520252 5040504