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420453241 = 13214291741
BaseRepresentation
bin11001000011111…
…001101101111001
31002022011020102021
4121003321231321
51330114000431
6105415434441
713263536125
oct3103715571
91068136367
10420453241
111a637581a
12b8985a21
1369153100
143dbaa585
1526da3b11
hex190f9b79

420453241 has 12 divisors (see below), whose sum is σ = 455863980. Its totient is φ = 387616320.

The previous prime is 420453239. The next prime is 420453251. The reversal of 420453241 is 142354024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 308178025 + 112275216 = 17555^2 + 10596^2 .

It is not a de Polignac number, because 420453241 - 21 = 420453239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420453251) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 240631 + ... + 242371.

It is an arithmetic number, because the mean of its divisors is an integer number (37988665).

Almost surely, 2420453241 is an apocalyptic number.

It is an amenable number.

420453241 is a deficient number, since it is larger than the sum of its proper divisors (35410739).

420453241 is a wasteful number, since it uses less digits than its factorization.

420453241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 420453241 is about 20504.9564983689. The cubic root of 420453241 is about 749.1565279102.

The spelling of 420453241 in words is "four hundred twenty million, four hundred fifty-three thousand, two hundred forty-one".

Divisors: 1 13 169 1429 1741 18577 22633 241501 294229 2487889 32342557 420453241