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2528568 = 2332729173
BaseRepresentation
bin1001101001010100111000
311202110112200
421221110320
51121403233
6130110200
730330630
oct11512470
94673480
102528568
111477829
12a1b360
136a6bc3
1449b6c0
1534e313
hex269538

2528568 has 96 divisors (see below), whose sum is σ = 8143200. Its totient is φ = 693504.

The previous prime is 2528557. The next prime is 2528569. The reversal of 2528568 is 8658252.

It is a super-2 number, since 2×25285682 = 12787312261248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528569) 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, 14530 + ... + 14702.

It is an arithmetic number, because the mean of its divisors is an integer number (84825).

22528568 is an apocalyptic number.

2528568 is a gapful number since it is divisible by the number (28) 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 2528568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071600).

2528568 is an abundant number, since it is smaller than the sum of its proper divisors (5614632).

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

2528568 is a wasteful number, since it uses less digits than its factorization.

2528568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2528568 is about 1590.1471630010. The cubic root of 2528568 is about 136.2358939469.

The spelling of 2528568 in words is "two million, five hundred twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 173 174 203 232 252 261 346 348 406 504 519 522 609 692 696 812 1038 1044 1211 1218 1384 1557 1624 1827 2076 2088 2422 2436 3114 3633 3654 4152 4844 4872 5017 6228 7266 7308 9688 10034 10899 12456 14532 14616 15051 20068 21798 29064 30102 35119 40136 43596 45153 60204 70238 87192 90306 105357 120408 140476 180612 210714 280952 316071 361224 421428 632142 842856 1264284 2528568