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420272768 = 273283381
BaseRepresentation
bin11001000011001…
…101101010000000
31002021211001212002
4121003031222000
51330042212033
6105411523132
713262155016
oct3103155200
91067731762
10420272768
111a6262173
12b88b94a8
13690bbc16
143db608b6
1526d6a3e8
hex190cda80

420272768 has 16 divisors (see below), whose sum is σ = 837262410. Its totient is φ = 210136320.

The previous prime is 420272729. The next prime is 420272779. The reversal of 420272768 is 867272024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 409981504 + 10291264 = 20248^2 + 3208^2 .

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

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 as a sum of consecutive naturals, namely, 1641563 + ... + 1641818.

Almost surely, 2420272768 is an apocalyptic number.

It is an amenable number.

420272768 is a deficient number, since it is larger than the sum of its proper divisors (416989642).

420272768 is an equidigital number, since it uses as much as digits as its factorization.

420272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283395 (or 3283383 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 420272768 is about 20500.5553095520. Note that the first 3 decimals coincide. The cubic root of 420272768 is about 749.0493246495.

The spelling of 420272768 in words is "four hundred twenty million, two hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 3283381 6566762 13133524 26267048 52534096 105068192 210136384 420272768