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28249700 = 22521012797
BaseRepresentation
bin110101111000…
…0111001100100
31222011020022012
41223300321210
524212442300
62445253352
7462055433
oct153607144
958136265
1028249700
1114a45466
129564258
135b113cb
143a7511a
152730435
hex1af0e64

28249700 has 36 divisors (see below), whose sum is σ = 61930932. Its totient is φ = 11184000.

The previous prime is 28249691. The next prime is 28249703. The reversal of 28249700 is 794282.

It can be written as a sum of positive squares in 6 ways, for example, as 2096704 + 26152996 = 1448^2 + 5114^2 .

It is not an unprimeable number, because it can be changed into a prime (28249703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8702 + ... + 11498.

Almost surely, 228249700 is an apocalyptic number.

28249700 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 28249700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965466).

28249700 is an abundant number, since it is smaller than the sum of its proper divisors (33681232).

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

28249700 is a wasteful number, since it uses less digits than its factorization.

28249700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 28249700 is about 5315.0446846663. The cubic root of 28249700 is about 304.5588893538.

The spelling of 28249700 in words is "twenty-eight million, two hundred forty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 2797 5050 5594 10100 11188 13985 27970 55940 69925 139850 279700 282497 564994 1129988 1412485 2824970 5649940 7062425 14124850 28249700