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5138532 = 223372971
BaseRepresentation
bin10011100110100001100100
3100200001202000
4103212201210
52303413112
6302045300
761451100
oct23464144
910601660
105138532
11299a723
121879830
1310abb69
1497a900
156b77dc
hex4e6864

5138532 has 72 divisors (see below), whose sum is σ = 15513120. Its totient is φ = 1466640.

The previous prime is 5138519. The next prime is 5138533. The reversal of 5138532 is 2358315.

It is a super-2 number, since 2×51385322 = 52809022230048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5138496 and 5138505.

It is not an unprimeable number, because it can be changed into a prime (5138533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4807 + ... + 5777.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 25138532 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 5138532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560).

5138532 is an abundant number, since it is smaller than the sum of its proper divisors (10374588).

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

5138532 is a wasteful number, since it uses less digits than its factorization.

5138532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 983 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5138532 is about 2266.8330331103. The cubic root of 5138532 is about 172.5624726463.

It can be divided in two parts, 513 and 8532, that added together give a triangular number (9045 = T134).

The spelling of 5138532 in words is "five million, one hundred thirty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 971 1323 1764 1942 2646 2913 3884 5292 5826 6797 8739 11652 13594 17478 20391 26217 27188 34956 40782 47579 52434 61173 81564 95158 104868 122346 142737 183519 190316 244692 285474 367038 428211 570948 734076 856422 1284633 1712844 2569266 5138532