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823238272 = 276431549
BaseRepresentation
bin110001000100011…
…001111010000000
32010101001211121101
4301010121322000
53141222111042
6213404504144
726254260403
oct6104317200
92111054541
10823238272
1139277310a
121ab84b054
1310172b24c
147b497d3a
154c4176b7
hex31119e80

823238272 has 16 divisors (see below), whose sum is σ = 1640045250. Its totient is φ = 411619072.

The previous prime is 823238267. The next prime is 823238279. The reversal of 823238272 is 272832328.

It can be written as a sum of positive squares in only one way, i.e., 803382336 + 19855936 = 28344^2 + 4456^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (823238279) 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 as a sum of consecutive naturals, namely, 3215647 + ... + 3215902.

Almost surely, 2823238272 is an apocalyptic number.

It is an amenable number.

823238272 is a deficient number, since it is larger than the sum of its proper divisors (816806978).

823238272 is an equidigital number, since it uses as much as digits as its factorization.

823238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431563 (or 6431551 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 823238272 is about 28692.1290949278. The cubic root of 823238272 is about 937.2206540044.

The spelling of 823238272 in words is "eight hundred twenty-three million, two hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 6431549 12863098 25726196 51452392 102904784 205809568 411619136 823238272