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849216672 = 253223128203
BaseRepresentation
bin110010100111100…
…000010010100000
32012011221200021100
4302213200102200
53214344413142
6220133354400
730021136233
oct6247402240
92164850240
10849216672
113a63a7067
121b8498a00
13106c25895
1480adb41a
154e849b4c
hex329e04a0

849216672 has 72 divisors (see below), whose sum is σ = 2519977824. Its totient is φ = 270762624.

The previous prime is 849216661. The next prime is 849216701. The reversal of 849216672 is 276612948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 57478 + ... + 70725.

It is an arithmetic number, because the mean of its divisors is an integer number (34999692).

Almost surely, 2849216672 is an apocalyptic number.

It is an amenable number.

849216672 is an abundant number, since it is smaller than the sum of its proper divisors (1670761152).

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

849216672 is a wasteful number, since it uses less digits than its factorization.

849216672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128242 (or 128231 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 849216672 is about 29141.3224133703. The cubic root of 849216672 is about 946.9771588368.

The spelling of 849216672 in words is "eight hundred forty-nine million, two hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 128203 256406 384609 512812 769218 1025624 1153827 1538436 2051248 2307654 2948669 3076872 4102496 4615308 5897338 6153744 8846007 9230616 11794676 12307488 17692014 18461232 23589352 26538021 35384028 36922464 47178704 53076042 70768056 94357408 106152084 141536112 212304168 283072224 424608336 849216672