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419621409 = 3246624601
BaseRepresentation
bin11001000000101…
…110101000100001
31002020120222100200
4121000232220201
51324410341114
6105345535413
713253503014
oct3100565041
91066528320
10419621409
111a5957859
12b8644569
1368c215bc
143da3137b
1526c8c409
hex1902ea21

419621409 has 6 divisors (see below), whose sum is σ = 606119826. Its totient is φ = 279747600.

The previous prime is 419621359. The next prime is 419621417. The reversal of 419621409 is 904126914.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 308107809 + 111513600 = 17553^2 + 10560^2 .

It is not a de Polignac number, because 419621409 - 221 = 417524257 is a prime.

It is a super-2 number, since 2×4196214092 = 352164253782290562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (419621309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23312292 + ... + 23312309.

It is an arithmetic number, because the mean of its divisors is an integer number (101019971).

Almost surely, 2419621409 is an apocalyptic number.

It is an amenable number.

419621409 is a deficient number, since it is larger than the sum of its proper divisors (186498417).

419621409 is a wasteful number, since it uses less digits than its factorization.

419621409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46624607 (or 46624604 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 419621409 is about 20484.6627748665. The cubic root of 419621409 is about 748.6621536418.

The spelling of 419621409 in words is "four hundred nineteen million, six hundred twenty-one thousand, four hundred nine".

Divisors: 1 3 9 46624601 139873803 419621409