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419919408 = 24322916107
BaseRepresentation
bin11001000001110…
…111011000110000
31002021011010010200
4121001313120300
51324444410113
6105400155200
713256153556
oct3101673060
91067133120
10419919408
111a6040737
12b8768b00
1368cc712c
143daabbd6
1526cea873
hex19077630

419919408 has 30 divisors (see below), whose sum is σ = 1175191524. Its totient is φ = 139973088.

The previous prime is 419919407. The next prime is 419919427. The reversal of 419919408 is 804919914.

It is not an unprimeable number, because it can be changed into a prime (419919407) 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 5 ways as a sum of consecutive naturals, for example, 1457910 + ... + 1458197.

Almost surely, 2419919408 is an apocalyptic number.

419919408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

419919408 is an abundant number, since it is smaller than the sum of its proper divisors (755272116).

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

419919408 is a wasteful number, since it uses less digits than its factorization.

419919408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916121 (or 2916112 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 419919408 is about 20491.9351941197. The cubic root of 419919408 is about 748.8393354035.

The spelling of 419919408 in words is "four hundred nineteen million, nine hundred nineteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2916107 5832214 8748321 11664428 17496642 23328856 26244963 34993284 46657712 52489926 69986568 104979852 139973136 209959704 419919408