Search a number
-
+
28766250 = 232542557
BaseRepresentation
bin110110110111…
…1000000101010
32000010110212200
41231233000222
524331010000
62504321030
7466336422
oct155570052
960113780
1028766250
1115268567
129773176
135c62566
143b6b482
1527d3500
hex1b6f02a

28766250 has 60 divisors (see below), whose sum is σ = 77914122. Its totient is φ = 7668000.

The previous prime is 28766239. The next prime is 28766281. The reversal of 28766250 is 5266782.

28766250 is a `hidden beast` number, since 28 + 7 + 6 + 625 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 154449 + 28611801 = 393^2 + 5349^2 .

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 29 ways as a sum of consecutive naturals, for example, 9972 + ... + 12528.

Almost surely, 228766250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28766250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38957061).

28766250 is an abundant number, since it is smaller than the sum of its proper divisors (49147872).

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

28766250 is a wasteful number, since it uses less digits than its factorization.

28766250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 28766250 is about 5363.4177536343. The cubic root of 28766250 is about 306.4039903063.

The spelling of 28766250 in words is "twenty-eight million, seven hundred sixty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 2557 3750 5114 5625 7671 11250 12785 15342 23013 25570 38355 46026 63925 76710 115065 127850 191775 230130 319625 383550 575325 639250 958875 1150650 1598125 1917750 2876625 3196250 4794375 5753250 9588750 14383125 28766250