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420088509 = 3246676501
BaseRepresentation
bin11001000010100…
…000101010111101
31002021110201002200
4121002200222331
51330020313014
6105403542113
713260456561
oct3102405275
91067421080
10420088509
111a6146795
12b882a939
13690560a9
143db136a1
1526d30a09
hex190a0abd

420088509 has 6 divisors (see below), whose sum is σ = 606794526. Its totient is φ = 280059000.

The previous prime is 420088489. The next prime is 420088523. The reversal of 420088509 is 905880024.

It can be written as a sum of positive squares in only one way, i.e., 257602500 + 162486009 = 16050^2 + 12747^2 .

It is not a de Polignac number, because 420088509 - 27 = 420088381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420088549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23338242 + ... + 23338259.

It is an arithmetic number, because the mean of its divisors is an integer number (101132421).

Almost surely, 2420088509 is an apocalyptic number.

It is an amenable number.

420088509 is a deficient number, since it is larger than the sum of its proper divisors (186706017).

420088509 is a wasteful number, since it uses less digits than its factorization.

420088509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46676507 (or 46676504 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 420088509 is about 20496.0608166545. The cubic root of 420088509 is about 748.9398407894.

The spelling of 420088509 in words is "four hundred twenty million, eighty-eight thousand, five hundred nine".

Divisors: 1 3 9 46676501 140029503 420088509