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8454272 = 272572
BaseRepresentation
bin100000010000…
…000010000000
3120220112002012
4200100002000
54131014042
6501112052
7131601011
oct40200200
916815065
108454272
114854902
1229b8628
1319a0138
1411a1008
15b1ee82
hex810080

8454272 has 24 divisors (see below), whose sum is σ = 16908285. Its totient is φ = 4210688.

The previous prime is 8454269. The next prime is 8454307. The reversal of 8454272 is 2724548.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5271616 + 3182656 = 2296^2 + 1784^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2056.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 8 + 43 + 5 + 48 + 2 + 72 + 223 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 32768 + ... + 33024.

Almost surely, 28454272 is an apocalyptic number.

It is an amenable number.

8454272 is a deficient number, since it is larger than the sum of its proper divisors (8454013).

8454272 is an frugal number, since it uses more digits than its factorization.

8454272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 259 counting only the distinct ones).

The product of its digits is 17920, while the sum is 32.

The square root of 8454272 is about 2907.6230842391. The cubic root of 8454272 is about 203.7161244446.

Multiplying 8454272 by its sum of digits (32), we get a square (270536704 = 164482).

8454272 divided by its sum of digits (32) gives a square (264196 = 5142).

The spelling of 8454272 in words is "eight million, four hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 257 514 1028 2056 4112 8224 16448 32896 66049 132098 264196 528392 1056784 2113568 4227136 8454272