Search a number
-
+
1684428576 = 25329605039
BaseRepresentation
bin110010001100110…
…0101011100100000
311100101112211121120
41210121211130200
511422203203301
6435051052240
756512256325
oct14431453440
94311484546
101684428576
117948a8136
123b0141080
1320ac86acc
1411d9d0b4c
159cd29e36
hex64665720

1684428576 has 48 divisors (see below), whose sum is σ = 4574102400. Its totient is φ = 542114048.

The previous prime is 1684428569. The next prime is 1684428587. The reversal of 1684428576 is 6758244861.

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

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, 299736 + ... + 305303.

It is an arithmetic number, because the mean of its divisors is an integer number (95293800).

Almost surely, 21684428576 is an apocalyptic number.

1684428576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1684428576 is an abundant number, since it is smaller than the sum of its proper divisors (2889673824).

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

1684428576 is a wasteful number, since it uses less digits than its factorization.

1684428576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605081 (or 605073 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 1684428576 is about 41041.7906042122. The cubic root of 1684428576 is about 1189.8280419089.

The spelling of 1684428576 in words is "one billion, six hundred eighty-four million, four hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 605039 1210078 1815117 2420156 3630234 4840312 7260468 9680624 14520936 17546131 19361248 29041872 35092262 52638393 58083744 70184524 105276786 140369048 210553572 280738096 421107144 561476192 842214288 1684428576