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419619924 = 223211656109
BaseRepresentation
bin11001000000101…
…110010001010100
31002020120220022200
4121000232101110
51324410314144
6105345524500
713253465463
oct3100562124
91066526280
10419619924
111a5956729
12b8643730
1368c20a19
143da309da
1526c8bc69
hex1902e454

419619924 has 18 divisors (see below), whose sum is σ = 1060706010. Its totient is φ = 139873296.

The previous prime is 419619917. The next prime is 419619943. The reversal of 419619924 is 429916914.

419619924 is a `hidden beast` number, since 4 + 1 + 9 + 619 + 9 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 408848400 + 10771524 = 20220^2 + 3282^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 419619924.

It is a congruent number.

It is an unprimeable number.

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, 5828019 + ... + 5828090.

Almost surely, 2419619924 is an apocalyptic number.

It is an amenable number.

419619924 is an abundant number, since it is smaller than the sum of its proper divisors (641086086).

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

419619924 is a wasteful number, since it uses less digits than its factorization.

419619924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656119 (or 11656114 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 419619924 is about 20484.6265282040. The cubic root of 419619924 is about 748.6612704929.

The spelling of 419619924 in words is "four hundred nineteen million, six hundred nineteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11656109 23312218 34968327 46624436 69936654 104904981 139873308 209809962 419619924