Search a number
-
+
513472 = 2671113
BaseRepresentation
bin1111101010111000000
3222002100111
41331113000
5112412342
615001104
74236001
oct1752700
9862314
10513472
11320863
12209194
1314c93b
14d51a8
15a2217
hex7d5c0

513472 has 28 divisors (see below), whose sum is σ = 1042416. Its totient is φ = 250880.

The previous prime is 513439. The next prime is 513473. The reversal of 513472 is 274315.

513472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513473) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4488 + ... + 4600.

2513472 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 513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521208).

513472 is an abundant number, since it is smaller than the sum of its proper divisors (528944).

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

513472 is a wasteful number, since it uses less digits than its factorization.

513472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 513472 is about 716.5696058304. The cubic root of 513472 is about 80.0765933116.

Adding to 513472 its reverse (274315), we get a palindrome (787787).

The spelling of 513472 in words is "five hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 71 113 142 226 284 452 568 904 1136 1808 2272 3616 4544 7232 8023 16046 32092 64184 128368 256736 513472