Search a number
-
+
28251800 = 2352294871
BaseRepresentation
bin110101111000…
…1011010011000
31222011100011222
41223301122120
524213024200
62445311212
7462064523
oct153613230
958140158
1028251800
1114a46aa5
129565508
135b12355
143a75bba
152730d85
hex1af1698

28251800 has 48 divisors (see below), whose sum is σ = 67964400. Its totient is φ = 10908800.

The previous prime is 28251799. The next prime is 28251827. The reversal of 28251800 is 815282.

It is a self number, because there is not a number n which added to its sum of digits gives 28251800.

It is a congruent number.

It is an unprimeable number.

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, 3365 + ... + 8235.

It is an arithmetic number, because the mean of its divisors is an integer number (1415925).

Almost surely, 228251800 is an apocalyptic number.

28251800 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 28251800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33982200).

28251800 is an abundant number, since it is smaller than the sum of its proper divisors (39712600).

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

28251800 is a wasteful number, since it uses less digits than its factorization.

28251800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 28251800 is about 5315.2422334264. The cubic root of 28251800 is about 304.5664358389.

The spelling of 28251800 in words is "twenty-eight million, two hundred fifty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 4871 5800 9742 19484 24355 38968 48710 97420 121775 141259 194840 243550 282518 487100 565036 706295 974200 1130072 1412590 2825180 3531475 5650360 7062950 14125900 28251800