Search a number
-
+
28735146 = 232111031409
BaseRepresentation
bin110110110011…
…1011010101010
32000001220012200
41231213122222
524324011041
62503521030
7466146636
oct155473252
960056180
1028735146
1115247160
129759176
135c5135b
143b5ddc6
1527c91b6
hex1b676aa

28735146 has 48 divisors (see below), whose sum is σ = 68627520. Its totient is φ = 8616960.

The previous prime is 28735141. The next prime is 28735193. The reversal of 28735146 is 64153782.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 28735146.

It is not an unprimeable number, because it can be changed into a prime (28735141) 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, 19690 + ... + 21098.

It is an arithmetic number, because the mean of its divisors is an integer number (1429740).

Almost surely, 228735146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28735146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34313760).

28735146 is an abundant number, since it is smaller than the sum of its proper divisors (39892374).

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

28735146 is a wasteful number, since it uses less digits than its factorization.

28735146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1528 counting only the distinct ones).

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

The square root of 28735146 is about 5360.5173257812. The cubic root of 28735146 is about 306.2935156268.

The spelling of 28735146 in words is "twenty-eight million, seven hundred thirty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1409 1854 2266 2818 3399 4227 6798 8454 10197 12681 15499 20394 25362 30998 46497 92994 139491 145127 278982 290254 435381 870762 1306143 1596397 2612286 3192794 4789191 9578382 14367573 28735146