Search a number
-
+
28364148 = 22331811451
BaseRepresentation
bin110110000110…
…0110101110100
31222101001022000
41230030311310
524230123043
62451535300
7463043211
oct154146564
958331260
1028364148
111501344a
1295ba530
135b51527
143aa4b08
1527542d3
hex1b0cd74

28364148 has 48 divisors (see below), whose sum is σ = 73993920. Its totient is φ = 9396000.

The previous prime is 28364113. The next prime is 28364153. The reversal of 28364148 is 84146382.

28364148 is a `hidden beast` number, since 2 + 8 + 3 + 641 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 18823 + ... + 20273.

It is an arithmetic number, because the mean of its divisors is an integer number (1541540).

Almost surely, 228364148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28364148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36996960).

28364148 is an abundant number, since it is smaller than the sum of its proper divisors (45629772).

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

28364148 is a wasteful number, since it uses less digits than its factorization.

28364148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1637 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 28364148 is about 5325.8002215630. The cubic root of 28364148 is about 304.9696216272.

The spelling of 28364148 in words is "twenty-eight million, three hundred sixty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1451 1629 2172 2902 3258 4353 4887 5804 6516 8706 9774 13059 17412 19548 26118 39177 52236 78354 156708 262631 525262 787893 1050524 1575786 2363679 3151572 4727358 7091037 9454716 14182074 28364148