Search a number
-
+
503411004 = 2233171914431
BaseRepresentation
bin11110000000010…
…111000100111100
31022002020221002000
4132000113010330
52012333123004
6121541502300
715321631365
oct3600270474
91262227060
10503411004
11239187158
12120711990
13803aa845
144ac02b6c
152e2ddc39
hex1e01713c

503411004 has 96 divisors (see below), whose sum is σ = 1454745600. Its totient is φ = 149610240.

The previous prime is 503411003. The next prime is 503411033. The reversal of 503411004 is 400114305.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503411003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27669 + ... + 42099.

It is an arithmetic number, because the mean of its divisors is an integer number (15153600).

Almost surely, 2503411004 is an apocalyptic number.

503411004 is a gapful number since it is divisible by the number (54) 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 503411004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727372800).

503411004 is an abundant number, since it is smaller than the sum of its proper divisors (951334596).

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

503411004 is a wasteful number, since it uses less digits than its factorization.

503411004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14480 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 503411004 is about 22436.8225023063. The cubic root of 503411004 is about 795.5013142863.

Adding to 503411004 its reverse (400114305), we get a palindrome (903525309).

The spelling of 503411004 in words is "five hundred three million, four hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 306 323 342 459 513 612 646 684 918 969 1026 1292 1836 1938 2052 2907 3876 5814 8721 11628 14431 17442 28862 34884 43293 57724 86586 129879 173172 245327 259758 274189 389637 490654 519516 548378 735981 779274 822567 981308 1096756 1471962 1558548 1645134 2207943 2467701 2943924 3290268 4415886 4661213 4935402 6623829 7403103 8831772 9322426 9870804 13247658 13983639 14806206 18644852 26495316 27967278 29612412 41950917 55934556 83901834 125852751 167803668 251705502 503411004