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419451012 = 223229401773
BaseRepresentation
bin11001000000000…
…101000010000100
31002020021022121200
4121000011002010
51324334413022
6105342142500
713252163151
oct3100050204
91066238550
10419451012
111a5850832
12b8581a30
1368b91b86
143d9c9228
1526c56bac
hex19005084

419451012 has 36 divisors (see below), whose sum is σ = 1096843020. Its totient is φ = 134995392.

The previous prime is 419451007. The next prime is 419451059. The reversal of 419451012 is 210154914.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 310957956 = 10416^2 + 17634^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199843 + ... + 201930.

Almost surely, 2419451012 is an apocalyptic number.

It is an amenable number.

419451012 is an abundant number, since it is smaller than the sum of its proper divisors (677392008).

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

419451012 is a wasteful number, since it uses less digits than its factorization.

419451012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401812 (or 401807 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 419451012 is about 20480.5032164740. The cubic root of 419451012 is about 748.5608027147.

The spelling of 419451012 in words is "four hundred nineteen million, four hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 401773 803546 1205319 1607092 2410638 3615957 4821276 7231914 11651417 14463828 23302834 34954251 46605668 69908502 104862753 139817004 209725506 419451012