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421074585 = 3357342727
BaseRepresentation
bin11001000110010…
…001011010011001
31002100022210202000
4121012101122121
51330243341320
6105441031213
713302034461
oct3106213231
91070283660
10421074585
111a675a628
12b9025509
136930cb79
143dcccba1
1526e77c90
hex19191699

421074585 has 32 divisors (see below), whose sum is σ = 758849280. Its totient is φ = 221491584.

The previous prime is 421074539. The next prime is 421074607. The reversal of 421074585 is 585470124.

421074585 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 74 + 585 = 666.

It is not a de Polignac number, because 421074585 - 211 = 421072537 is a prime.

It is a super-2 number, since 2×4210745852 = 354607612265844450, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11509 + ... + 31218.

It is an arithmetic number, because the mean of its divisors is an integer number (23714040).

Almost surely, 2421074585 is an apocalyptic number.

421074585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

421074585 is a deficient number, since it is larger than the sum of its proper divisors (337774695).

421074585 is a wasteful number, since it uses less digits than its factorization.

421074585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42814 (or 42808 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 421074585 is about 20520.1019734308. The cubic root of 421074585 is about 749.5253797108.

The spelling of 421074585 in words is "four hundred twenty-one million, seventy-four thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 73 135 219 365 657 1095 1971 3285 9855 42727 128181 213635 384543 640905 1153629 1922715 3119071 5768145 9357213 15595355 28071639 46786065 84214917 140358195 421074585