Search a number
-
+
9482944416 = 253118980061
BaseRepresentation
bin10001101010011101…
…00011111110100000
3220110212211111012120
420311032203332200
5123410113210131
64204552224240
7453665461161
oct106516437640
926425744176
109482944416
114026969550
121a0799b080
13b8184321a
1465d60b768
153a77c6496
hex2353a3fa0

9482944416 has 48 divisors (see below), whose sum is σ = 27155707488. Its totient is φ = 2873619200.

The previous prime is 9482944391. The next prime is 9482944421. The reversal of 9482944416 is 6144492849.

It is a happy number.

9482944416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4488975 + ... + 4491086.

It is an arithmetic number, because the mean of its divisors is an integer number (565743906).

Almost surely, 29482944416 is an apocalyptic number.

9482944416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9482944416 is an abundant number, since it is smaller than the sum of its proper divisors (17672763072).

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

9482944416 is a wasteful number, since it uses less digits than its factorization.

9482944416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980085 (or 8980077 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 9482944416 is about 97380.4108432492. The cubic root of 9482944416 is about 2116.6435864748.

The spelling of 9482944416 in words is "nine billion, four hundred eighty-two million, nine hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 8980061 17960122 26940183 35920244 53880366 71840488 98780671 107760732 143680976 197561342 215521464 287361952 296342013 395122684 431042928 592684026 790245368 862085856 1185368052 1580490736 2370736104 3160981472 4741472208 9482944416