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1679171424 = 25372498767
BaseRepresentation
bin110010000010110…
…0001111101100000
311100000122202011020
41210011201331200
511414331441144
6434342245440
756416502340
oct14405417540
94300582136
101679171424
11791937387
123aa426880
13209b65c78
1411d022d20
159c63c419
hex64161f60

1679171424 has 48 divisors (see below), whose sum is σ = 5037516288. Its totient is φ = 479763072.

The previous prime is 1679171381. The next prime is 1679171453. The reversal of 1679171424 is 4241719761.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1248712 + ... + 1250055.

It is an arithmetic number, because the mean of its divisors is an integer number (104948256).

Almost surely, 21679171424 is an apocalyptic number.

1679171424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1679171424 is an abundant number, since it is smaller than the sum of its proper divisors (3358344864).

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

1679171424 is a wasteful number, since it uses less digits than its factorization.

1679171424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498787 (or 2498779 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 1679171424 is about 40977.6942250293. The cubic root of 1679171424 is about 1188.5889222603.

The spelling of 1679171424 in words is "one billion, six hundred seventy-nine million, one hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2498767 4997534 7496301 9995068 14992602 17491369 19990136 29985204 34982738 39980272 52474107 59970408 69965476 79960544 104948214 119940816 139930952 209896428 239881632 279861904 419792856 559723808 839585712 1679171424