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420252371 = 72118832
BaseRepresentation
bin11001000011001…
…000101011010011
31002021210000212122
4121003020223103
51330041033441
6105411244455
713262041400
oct3103105323
91067700778
10420252371
111a6248910
12b88a972b
13690b2856
143db572a7
1526d6434b
hex190c8ad3

420252371 has 18 divisors (see below), whose sum is σ = 533911932. Its totient is φ = 327098520.

The previous prime is 420252361. The next prime is 420252377. The reversal of 420252371 is 173252024.

It is not a de Polignac number, because 420252371 - 26 = 420252307 is a prime.

It is a super-2 number, since 2×4202523712 = 353224110662243282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420252371.

It is not an unprimeable number, because it can be changed into a prime (420252377) 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 17 ways as a sum of consecutive naturals, for example, 475496 + ... + 476378.

It is an arithmetic number, because the mean of its divisors is an integer number (29661774).

Almost surely, 2420252371 is an apocalyptic number.

420252371 is a deficient number, since it is larger than the sum of its proper divisors (113659561).

420252371 is an frugal number, since it uses more digits than its factorization.

420252371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 420252371 is about 20500.0578291867. The cubic root of 420252371 is about 749.0372066416.

The spelling of 420252371 in words is "four hundred twenty million, two hundred fifty-two thousand, three hundred seventy-one".

Divisors: 1 7 11 49 77 539 883 6181 9713 43267 67991 475937 779689 5457823 8576579 38204761 60036053 420252371