[go: up one dir, main page]

Search a number
-
+
5132592 = 24331092
BaseRepresentation
bin10011100101000100110000
3100122202121000
4103211010300
52303220332
6302002000
761424553
oct23450460
910582530
105132592
112996213
121876300
1310a924a
1497869a
156b5b7c
hex4e5130

5132592 has 60 divisors (see below), whose sum is σ = 14868840. Its totient is φ = 1695168.

The previous prime is 5132591. The next prime is 5132597. The reversal of 5132592 is 2952315.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (5132591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47034 + ... + 47142.

It is an arithmetic number, because the mean of its divisors is an integer number (247814).

Almost surely, 25132592 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 5132592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434420).

5132592 is an abundant number, since it is smaller than the sum of its proper divisors (9736248).

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

5132592 is a wasteful number, since it uses less digits than its factorization.

5132592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 114 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 5132592 is about 2265.5224563001. The cubic root of 5132592 is about 172.4959545365.

Multiplying 5132592 by its sum of digits (27), we get a square (138579984 = 117722).

5132592 divided by its sum of digits (27) gives a square (190096 = 4362).

Multiplying 5132592 by its product of digits (2700), we get a square (13857998400 = 1177202).

The spelling of 5132592 in words is "five million, one hundred thirty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1744 1962 2616 2943 3924 5232 5886 7848 11772 11881 15696 23544 23762 35643 47088 47524 71286 95048 106929 142572 190096 213858 285144 320787 427716 570288 641574 855432 1283148 1710864 2566296 5132592