Search a number
-
+
8486340528 = 243297977171
BaseRepresentation
bin1111110011101001…
…10100011110110000
3210220102112202200110
413321310310132300
5114340000344103
63522031421320
7420204463401
oct77164643660
923812482613
108486340528
113665355276
12178a084840
13a53224a93
145a71059a8
1534a066403
hex1f9d347b0

8486340528 has 80 divisors (see below), whose sum is σ = 22966387200. Its totient is φ = 2696628480.

The previous prime is 8486340523. The next prime is 8486340563. The reversal of 8486340528 is 8250436848.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8486340523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71383 + ... + 148553.

It is an arithmetic number, because the mean of its divisors is an integer number (287079840).

Almost surely, 28486340528 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 8486340528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483193600).

8486340528 is an abundant number, since it is smaller than the sum of its proper divisors (14480046672).

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

8486340528 is a wasteful number, since it uses less digits than its factorization.

8486340528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77290 (or 77284 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 8486340528 is about 92121.3358999966. The cubic root of 8486340528 is about 2039.7337637946.

The spelling of 8486340528 in words is "eight billion, four hundred eighty-six million, three hundred forty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 79 87 116 158 174 232 237 316 348 464 474 632 696 948 1264 1392 1896 2291 3792 4582 6873 9164 13746 18328 27492 36656 54984 77171 109968 154342 231513 308684 463026 617368 926052 1234736 1852104 2237959 3704208 4475918 6096509 6713877 8951836 12193018 13427754 17903672 18289527 24386036 26855508 35807344 36579054 48772072 53711016 73158108 97544144 107422032 146316216 176798761 292632432 353597522 530396283 707195044 1060792566 1414390088 2121585132 2828780176 4243170264 8486340528