[go: up one dir, main page]

Search a number
-
+
5133492 = 22327131567
BaseRepresentation
bin10011100101010010110100
3100122210211100
4103211102310
52303232432
6302010100
761430310
oct23452264
910583740
105133492
112996961
121876930
1310a9790
14978b40
156b607c
hex4e54b4

5133492 has 72 divisors (see below), whose sum is σ = 15981056. Its totient is φ = 1353024.

The previous prime is 5133463. The next prime is 5133503. The reversal of 5133492 is 2943315.

It is a super-2 number, since 2×51334922 = 52705480228128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2493 + ... + 4059.

Almost surely, 25133492 is an apocalyptic number.

5133492 is a gapful number since it is divisible by the number (52) 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 5133492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990528).

5133492 is an abundant number, since it is smaller than the sum of its proper divisors (10847564).

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

5133492 is a wasteful number, since it uses less digits than its factorization.

5133492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1592 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 5133492 is about 2265.7210772732. The cubic root of 5133492 is about 172.5060363357.

It can be divided in two parts, 5133 and 492, that added together give a square (5625 = 752).

The spelling of 5133492 in words is "five million, one hundred thirty-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1567 1638 3134 3276 4701 6268 9402 10969 14103 18804 20371 21938 28206 32907 40742 43876 56412 61113 65814 81484 98721 122226 131628 142597 183339 197442 244452 285194 366678 394884 427791 570388 733356 855582 1283373 1711164 2566746 5133492