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420145497 = 32173976917
BaseRepresentation
bin11001000010101…
…110100101011001
31002021120121021100
4121002232211121
51330024123442
6105405102013
713261114662
oct3102564531
91067517240
10420145497
111a6185592
12b8857909
1369076005
143db2a369
1526d4284c
hex190ae959

420145497 has 24 divisors (see below), whose sum is σ = 644287176. Its totient is φ = 262918656.

The previous prime is 420145487. The next prime is 420145501. The reversal of 420145497 is 794541024.

It is a happy number.

420145497 is a `hidden beast` number, since 4 + 20 + 145 + 497 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175191696 + 244953801 = 13236^2 + 15651^2 .

It is not a de Polignac number, because 420145497 - 28 = 420145241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420145477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57283 + ... + 64199.

It is an arithmetic number, because the mean of its divisors is an integer number (26845299).

Almost surely, 2420145497 is an apocalyptic number.

It is an amenable number.

420145497 is a deficient number, since it is larger than the sum of its proper divisors (224141679).

420145497 is a wasteful number, since it uses less digits than its factorization.

420145497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 420145497 is about 20497.4509878668. The cubic root of 420145497 is about 748.9737056003.

The spelling of 420145497 in words is "four hundred twenty million, one hundred forty-five thousand, four hundred ninety-seven".

Divisors: 1 3 9 17 51 153 397 1191 3573 6749 6917 20247 20751 60741 62253 117589 352767 1058301 2746049 8238147 24714441 46682833 140048499 420145497