Search a number
-
+
485978112 = 2123213183
BaseRepresentation
bin11100111101110…
…111000000000000
31020212110020122100
4130331313000000
51443402244422
6120120110400
715020513544
oct3475670000
91225406570
10485978112
1122a35a604
12116905400
13798b5a19
1448785a24
152c9e87ac
hex1cf77000

485978112 has 78 divisors (see below), whose sum is σ = 1403871872. Its totient is φ = 161980416.

The previous prime is 485978107. The next prime is 485978113. The reversal of 485978112 is 211879584.

485978112 is a `hidden beast` number, since 48 + 597 + 8 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485978113) 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 5 ways as a sum of consecutive naturals, for example, 30273 + ... + 43455.

Almost surely, 2485978112 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 485978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701935936).

485978112 is an abundant number, since it is smaller than the sum of its proper divisors (917893760).

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

485978112 is a wasteful number, since it uses less digits than its factorization.

485978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213 (or 13188 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 485978112 is about 22044.9112495378. The cubic root of 485978112 is about 786.2106150427.

The spelling of 485978112 in words is "four hundred eighty-five million, nine hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 13183 18432 26366 36864 39549 52732 79098 105464 118647 158196 210928 237294 316392 421856 474588 632784 843712 949176 1265568 1687424 1898352 2531136 3374848 3796704 5062272 6749696 7593408 10124544 13499392 15186816 20249088 26998784 30373632 40498176 53997568 60747264 80996352 121494528 161992704 242989056 485978112