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2528232 = 2337101149
BaseRepresentation
bin1001101001001111101000
311202110002020
421221033220
51121400412
6130104440
730326640
oct11511750
94673066
102528232
111477553
12a1b120
136a69c5
1449b520
1534e18c
hex2693e8

2528232 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 710400.

The previous prime is 2528231. The next prime is 2528233. The reversal of 2528232 is 2328252.

2528232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2528231) and next prime (2528233).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 24 + 5 + 214 + 86 + 217 + 313 + 219 .

It is not an unprimeable number, because it can be changed into a prime (2528231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16894 + ... + 17042.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

22528232 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 2528232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2528232 is an abundant number, since it is smaller than the sum of its proper divisors (4815768).

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

2528232 is a wasteful number, since it uses less digits than its factorization.

2528232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2528232 is about 1590.0415088921. The cubic root of 2528232 is about 136.2298592679.

The spelling of 2528232 in words is "two million, five hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 149 168 202 298 303 404 447 596 606 707 808 894 1043 1192 1212 1414 1788 2086 2121 2424 2828 3129 3576 4172 4242 5656 6258 8344 8484 12516 15049 16968 25032 30098 45147 60196 90294 105343 120392 180588 210686 316029 361176 421372 632058 842744 1264116 2528232