Search a number
-
+
5325124 = 2272101269
BaseRepresentation
bin10100010100000101000100
3101000112200211
4110110011010
52330400444
6310045204
763156100
oct24240504
911015624
105325124
113007932
121949804
131145a7c
149c8900
15702c34
hex514144

5325124 has 36 divisors (see below), whose sum is σ = 10988460. Its totient is φ = 2251200.

The previous prime is 5325109. The next prime is 5325139. The reversal of 5325124 is 4215235.

It is an interprime number because it is at equal distance from previous prime (5325109) and next prime (5325139).

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 2502724 = 1680^2 + 1582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5325095 and 5325104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19662 + ... + 19930.

It is an arithmetic number, because the mean of its divisors is an integer number (305235).

Almost surely, 25325124 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 5325124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494230).

5325124 is an abundant number, since it is smaller than the sum of its proper divisors (5663336).

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

5325124 is a wasteful number, since it uses less digits than its factorization.

5325124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 5325124 is about 2307.6230194726. The cubic root of 5325124 is about 174.6264029977.

The spelling of 5325124 in words is "five million, three hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 269 404 538 707 1076 1414 1883 2828 3766 4949 7532 9898 13181 19796 26362 27169 52724 54338 108676 190183 380366 760732 1331281 2662562 5325124