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28361500 = 2253131433
BaseRepresentation
bin110110000110…
…0001100011100
31222100220122221
41230030030130
524230032000
62451515124
7463032406
oct154141434
958326587
1028361500
1115011462
1295b8aa4
135b5026b
143aa3b76
15275361a
hex1b0c31c

28361500 has 48 divisors (see below), whose sum is σ = 62558496. Its totient is φ = 11232000.

The previous prime is 28361483. The next prime is 28361537. The reversal of 28361500 is 516382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 65284 + ... + 65716.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 228361500 is an apocalyptic number.

28361500 is a gapful number since it is divisible by the number (20) 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 28361500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31279248).

28361500 is an abundant number, since it is smaller than the sum of its proper divisors (34196996).

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

28361500 is a wasteful number, since it uses less digits than its factorization.

28361500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 28361500 is about 5325.5516146217. The cubic root of 28361500 is about 304.9601309527.

Adding to 28361500 its reverse (516382), we get a palindrome (28877882).

The spelling of 28361500 in words is "twenty-eight million, three hundred sixty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 131 250 262 433 500 524 655 866 1310 1732 2165 2620 3275 4330 6550 8660 10825 13100 16375 21650 32750 43300 54125 56723 65500 108250 113446 216500 226892 283615 567230 1134460 1418075 2836150 5672300 7090375 14180750 28361500