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420848753 = 13171904293
BaseRepresentation
bin11001000101011…
…010010001110001
31002022220022221212
4121011122101301
51330214130003
6105432125505
713300104203
oct3105322161
91068808855
10420848753
111a6615996
12b8b36895
1369261140
143dc70773
1526e30dd8
hex1915a471

420848753 has 8 divisors (see below), whose sum is σ = 479882088. Its totient is φ = 365624064.

The previous prime is 420848749. The next prime is 420848773. The reversal of 420848753 is 357848024.

It can be written as a sum of positive squares in 4 ways, for example, as 7661824 + 413186929 = 2768^2 + 20327^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420848753 - 22 = 420848749 is a prime.

It is a super-2 number, since 2×4208487532 = 354227345803310018, 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 420848753.

It is not an unprimeable number, because it can be changed into a prime (420848773) 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 7 ways as a sum of consecutive naturals, for example, 951926 + ... + 952367.

It is an arithmetic number, because the mean of its divisors is an integer number (59985261).

Almost surely, 2420848753 is an apocalyptic number.

It is an amenable number.

420848753 is a deficient number, since it is larger than the sum of its proper divisors (59033335).

420848753 is a wasteful number, since it uses less digits than its factorization.

420848753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904323.

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 420848753 is about 20514.5985337271. The cubic root of 420848753 is about 749.3913598394.

The spelling of 420848753 in words is "four hundred twenty million, eight hundred forty-eight thousand, seven hundred fifty-three".

Divisors: 1 13 17 221 1904293 24755809 32372981 420848753