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4104242424 = 233222921087
BaseRepresentation
bin1111010010100001…
…1100010011111000
3101121000212010011200
43310220130103320
531401141224144
61515132054200
7203464325232
oct36450342370
911530763150
104104242424
111816813097
12966604360
135053bc219
142ad12b252
151904b6c69
hexf4a1c4f8

4104242424 has 72 divisors (see below), whose sum is σ = 11174679360. Its totient is φ = 1360853568.

The previous prime is 4104242407. The next prime is 4104242437. The reversal of 4104242424 is 4242424014.

4104242424 is a `hidden beast` number, since 410 + 4 + 2 + 4 + 242 + 4 = 666.

4104242424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×41042424244 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

4104242424 is a modest number, since divided by 242424 gives 4104 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3775209 + ... + 3776295.

It is an arithmetic number, because the mean of its divisors is an integer number (155203880).

Almost surely, 24104242424 is an apocalyptic number.

It is an amenable number.

4104242424 is an abundant number, since it is smaller than the sum of its proper divisors (7070436936).

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

4104242424 is a wasteful number, since it uses less digits than its factorization.

4104242424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4104242424 is about 64064.3615749037. The cubic root of 4104242424 is about 1601.0725132032.

Adding to 4104242424 its reverse (4242424014), we get a palindrome (8346666438).

The spelling of 4104242424 in words is "four billion, one hundred four million, two hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 229 458 687 916 1087 1374 1832 2061 2174 2748 3261 4122 4348 5496 6522 8244 8696 9783 13044 16488 19566 26088 39132 52441 78264 104882 157323 209764 248923 314646 419528 471969 497846 629292 746769 943938 995692 1258584 1493538 1887876 1991384 2240307 2987076 3775752 4480614 5974152 8961228 17922456 57003367 114006734 171010101 228013468 342020202 456026936 513030303 684040404 1026060606 1368080808 2052121212 4104242424