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3928582116 = 2232412661641
BaseRepresentation
bin1110101000101001…
…0110011111100100
3101010210022122112100
43222022112133210
531021204111431
61445455052100
7166232253114
oct35212263744
911123278470
103928582116
111736644988
12917811030
134a7ba7704
14293a83044
1517ed694e6
hexea2967e4

3928582116 has 36 divisors (see below), whose sum is σ = 10172795724. Its totient is φ = 1277587200.

The previous prime is 3928582111. The next prime is 3928582117. The reversal of 3928582116 is 6112858293.

3928582116 is a `hidden beast` number, since 39 + 28 + 582 + 1 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1337364900 + 2591217216 = 36570^2 + 50904^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3928582111) 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 11 ways as a sum of consecutive naturals, for example, 1329345 + ... + 1332296.

It is an arithmetic number, because the mean of its divisors is an integer number (282577659).

Almost surely, 23928582116 is an apocalyptic number.

3928582116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3928582116 is an abundant number, since it is smaller than the sum of its proper divisors (6244213608).

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

3928582116 is a wasteful number, since it uses less digits than its factorization.

3928582116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661692 (or 2661687 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 3928582116 is about 62678.4023089293. The cubic root of 3928582116 is about 1577.8968593885.

The spelling of 3928582116 in words is "three billion, nine hundred twenty-eight million, five hundred eighty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2661641 5323282 7984923 10646564 15969846 23954769 31939692 47909538 95819076 109127281 218254562 327381843 436509124 654763686 982145529 1309527372 1964291058 3928582116