Search a number
-
+
163620648 = 2335174951
BaseRepresentation
bin10011100000010…
…10011100101000
3102101212210100000
421300022130220
5313341330043
624122543000
74024516062
oct1160123450
9371783300
10163620648
11843a5684
1246967a60
1327b8a769
1417a32732
15e5702d3
hex9c0a728

163620648 has 96 divisors (see below), whose sum is σ = 486682560. Its totient is φ = 51321600.

The previous prime is 163620641. The next prime is 163620649. The reversal of 163620648 is 846026361.

163620648 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 2 + 0 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (163620641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30573 + ... + 35523.

It is an arithmetic number, because the mean of its divisors is an integer number (5069610).

Almost surely, 2163620648 is an apocalyptic number.

163620648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163620648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243341280).

163620648 is an abundant number, since it is smaller than the sum of its proper divisors (323061912).

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

163620648 is a wasteful number, since it uses less digits than its factorization.

163620648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 163620648 is about 12791.4286926832. The cubic root of 163620648 is about 546.9479968432.

The spelling of 163620648 in words is "one hundred sixty-three million, six hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 4131 4951 5508 8262 9902 11016 14853 16524 19804 29706 33048 39608 44559 59412 84167 89118 118824 133677 168334 178236 252501 267354 336668 356472 401031 505002 534708 673336 757503 802062 1010004 1069416 1203093 1515006 1604124 2020008 2272509 2406186 3030012 3208248 4545018 4812372 6060024 6817527 9090036 9624744 13635054 18180072 20452581 27270108 40905162 54540216 81810324 163620648