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4105885344 = 253113888149
BaseRepresentation
bin1111010010111010…
…1101011010100000
3101121010221120211120
43310232231122200
531402101312334
61515231212240
7203514310131
oct36456553240
911533846746
104105885344
111817735480
12967077080
13505845c72
142ad437c88
151906dd949
hexf4bad6a0

4105885344 has 48 divisors (see below), whose sum is σ = 11757765600. Its totient is φ = 1244207360.

The previous prime is 4105885321. The next prime is 4105885363. The reversal of 4105885344 is 4435885014.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4105885296 and 4105885305.

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, 1943019 + ... + 1945130.

It is an arithmetic number, because the mean of its divisors is an integer number (244953450).

Almost surely, 24105885344 is an apocalyptic number.

4105885344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4105885344 is an abundant number, since it is smaller than the sum of its proper divisors (7651880256).

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

4105885344 is a wasteful number, since it uses less digits than its factorization.

4105885344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888173 (or 3888165 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 4105885344 is about 64077.1827096042. The cubic root of 4105885344 is about 1601.2861200741.

The spelling of 4105885344 in words is "four billion, one hundred five million, eight hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3888149 7776298 11664447 15552596 23328894 31105192 42769639 46657788 62210384 85539278 93315576 124420768 128308917 171078556 186631152 256617834 342157112 373262304 513235668 684314224 1026471336 1368628448 2052942672 4105885344