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503052 = 2231137103
BaseRepresentation
bin1111010110100001100
3221120001120
41322310030
5112044202
614440540
74163424
oct1726414
9846046
10503052
11313a50
12203150
13147c84
14d1484
159e0bc
hex7ad0c

503052 has 48 divisors (see below), whose sum is σ = 1327872. Its totient is φ = 146880.

The previous prime is 503039. The next prime is 503053. The reversal of 503052 is 250305.

503052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5030522 = 506122629408, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (503053) by changing a digit.

503052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4833 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (27664).

2503052 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 503052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663936).

503052 is an abundant number, since it is smaller than the sum of its proper divisors (824820).

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

503052 is a wasteful number, since it uses less digits than its factorization.

503052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 503052 is about 709.2615878504. The cubic root of 503052 is about 79.5312167269.

Adding to 503052 its reverse (250305), we get a palindrome (753357).

The spelling of 503052 in words is "five hundred three thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 103 111 132 148 206 222 309 407 412 444 618 814 1133 1221 1236 1628 2266 2442 3399 3811 4532 4884 6798 7622 11433 13596 15244 22866 41921 45732 83842 125763 167684 251526 503052