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420443633 = 18114331621
BaseRepresentation
bin11001000011110…
…111010111110001
31002022010202020102
4121003313113301
51330113144013
6105415322145
713263466121
oct3103672761
91068122212
10420443633
111a6369585
12b8980355
136914b91c
143dba6c81
1526da0d58
hex190f75f1

420443633 has 8 divisors (see below), whose sum is σ = 423322536. Its totient is φ = 417571200.

The previous prime is 420443627. The next prime is 420443651. The reversal of 420443633 is 336344024.

It can be written as a sum of positive squares in 4 ways, for example, as 56130064 + 364313569 = 7492^2 + 19087^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 420443633 - 28 = 420443377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420443596 and 420443605.

It is not an unprimeable number, because it can be changed into a prime (420443603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258563 + ... + 260183.

It is an arithmetic number, because the mean of its divisors is an integer number (52915317).

Almost surely, 2420443633 is an apocalyptic number.

It is an amenable number.

420443633 is a deficient number, since it is larger than the sum of its proper divisors (2878903).

420443633 is a wasteful number, since it uses less digits than its factorization.

420443633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235.

The product of its (nonzero) digits is 20736, while the sum is 29.

The square root of 420443633 is about 20504.7222122125. The cubic root of 420443633 is about 749.1508214090.

Adding to 420443633 its reverse (336344024), we get a palindrome (756787657).

The spelling of 420443633 in words is "four hundred twenty million, four hundred forty-three thousand, six hundred thirty-three".

Divisors: 1 181 1433 1621 259373 293401 2322893 420443633