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420062825 = 52713296367
BaseRepresentation
bin11001000010011…
…010011001101001
31002021102101212102
4121002122121221
51330014002300
6105403223145
713260321650
oct3102323151
91067371772
10420062825
111a6129466
12b8817ab5
13690474b0
143db08197
1526d280d5
hex1909a669

420062825 has 48 divisors (see below), whose sum is σ = 663290880. Its totient is φ = 256677120.

The previous prime is 420062821. The next prime is 420062827. The reversal of 420062825 is 528260024.

420062825 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 420062825 - 22 = 420062821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (420062821) 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 47 ways as a sum of consecutive naturals, for example, 62792 + ... + 69158.

It is an arithmetic number, because the mean of its divisors is an integer number (13818560).

Almost surely, 2420062825 is an apocalyptic number.

It is an amenable number.

420062825 is a deficient number, since it is larger than the sum of its proper divisors (243228055).

420062825 is a wasteful number, since it uses less digits than its factorization.

420062825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 420062825 is about 20495.4342476562. The cubic root of 420062825 is about 748.9245772100.

The spelling of 420062825 in words is "four hundred twenty million, sixty-two thousand, eight hundred twenty-five".

Divisors: 1 5 7 13 25 29 35 65 91 145 175 203 325 377 455 725 1015 1885 2275 2639 5075 6367 9425 13195 31835 44569 65975 82771 159175 184643 222845 413855 579397 923215 1114225 1292501 2069275 2400359 2896985 4616075 6462505 12001795 14484925 16802513 32312525 60008975 84012565 420062825