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419272672 = 25713143981
BaseRepresentation
bin11000111111011…
…001011111100000
31002012221020222111
4120333121133200
51324313211142
6105334245104
713250521210
oct3077313740
91065836874
10419272672
111a5739845
12b84b6794
1368b2b950
143d980240
1526c1de17
hex18fd97e0

419272672 has 48 divisors (see below), whose sum is σ = 1015936992. Its totient is φ = 165864960.

The previous prime is 419272669. The next prime is 419272673. The reversal of 419272672 is 276272914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419272673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69079 + ... + 74902.

It is an arithmetic number, because the mean of its divisors is an integer number (21165354).

Almost surely, 2419272672 is an apocalyptic number.

It is an amenable number.

419272672 is an abundant number, since it is smaller than the sum of its proper divisors (596664320).

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

419272672 is a wasteful number, since it uses less digits than its factorization.

419272672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144011 (or 144003 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 419272672 is about 20476.1488566576. The cubic root of 419272672 is about 748.4546979459.

The spelling of 419272672 in words is "four hundred nineteen million, two hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 143981 287962 575924 1007867 1151848 1871753 2015734 2303696 3743506 4031468 4607392 7487012 8062936 13102271 14974024 16125872 26204542 29948048 32251744 52409084 59896096 104818168 209636336 419272672