Search a number
-
+
417649420 = 22520882471
BaseRepresentation
bin11000111001001…
…101001100001100
31002002212210022001
4120321031030030
51323404240140
6105235402044
713230650536
oct3071151414
91062783261
10417649420
111a4830211
12b7a53324
13686b0b46
143d67a856
15269ece9a
hex18e4d30c

417649420 has 12 divisors (see below), whose sum is σ = 877063824. Its totient is φ = 167059760.

The previous prime is 417649409. The next prime is 417649429. The reversal of 417649420 is 24946714.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 417649420.

It is not an unprimeable number, because it can be changed into a prime (417649429) 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 3 ways as a sum of consecutive naturals, for example, 10441216 + ... + 10441255.

It is an arithmetic number, because the mean of its divisors is an integer number (73088652).

Almost surely, 2417649420 is an apocalyptic number.

It is an amenable number.

417649420 is an abundant number, since it is smaller than the sum of its proper divisors (459414404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417649420 is a wasteful number, since it uses less digits than its factorization.

417649420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20882480 (or 20882478 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 417649420 is about 20436.4727876412. The cubic root of 417649420 is about 747.4875454202.

The spelling of 417649420 in words is "four hundred seventeen million, six hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 20882471 41764942 83529884 104412355 208824710 417649420