Search a number
-
+
28342082784 = 253347850807
BaseRepresentation
bin11010011001010100…
…011101110011100000
32201011012121222111210
4122121110131303200
5431021033122114
621004205110120
72022225504651
oct323124356340
981135558453
1028342082784
1111024404314
1255ab858340
132898a613b2
14152c199528
15b0d2d9259
hex69951dce0

28342082784 has 48 divisors (see below), whose sum is σ = 74612458368. Its totient is φ = 9420124032.

The previous prime is 28342082761. The next prime is 28342082803. The reversal of 28342082784 is 48728024382.

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 (48).

It is a congruent number.

It is an unprimeable number.

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, 392092 + ... + 458715.

It is an arithmetic number, because the mean of its divisors is an integer number (1554426216).

Almost surely, 228342082784 is an apocalyptic number.

28342082784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28342082784 is an abundant number, since it is smaller than the sum of its proper divisors (46270375584).

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

28342082784 is a wasteful number, since it uses less digits than its factorization.

28342082784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851167 (or 851159 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 28342082784 in words is "twenty-eight billion, three hundred forty-two million, eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 347 694 1041 1388 2082 2776 4164 5552 8328 11104 16656 33312 850807 1701614 2552421 3403228 5104842 6806456 10209684 13612912 20419368 27225824 40838736 81677472 295230029 590460058 885690087 1180920116 1771380174 2361840232 3542760348 4723680464 7085520696 9447360928 14171041392 28342082784