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4104024432 = 243671637829
BaseRepresentation
bin1111010010011110…
…0111000101110000
3101121000110001010220
43310213213011300
531401112240212
61515123253040
7203462426544
oct36447470560
911530401126
104104024432
111816684332
1296651a180
13505343c31
142ad0b1a24
1519047238c
hexf49e7170

4104024432 has 80 divisors (see below), whose sum is σ = 10827699840. Its totient is φ = 1339151616.

The previous prime is 4104024371. The next prime is 4104024439. The reversal of 4104024432 is 2344204014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104024439) 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 15 ways as a sum of consecutive naturals, for example, 520294 + ... + 528122.

It is an arithmetic number, because the mean of its divisors is an integer number (135346248).

Almost surely, 24104024432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413849920).

4104024432 is an abundant number, since it is smaller than the sum of its proper divisors (6723675408).

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

4104024432 is a wasteful number, since it uses less digits than its factorization.

4104024432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8070 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4104024432 is about 64062.6602007753. The cubic root of 4104024432 is about 1601.0441663413.

Adding to 4104024432 its reverse (2344204014), we get a palindrome (6448228446).

The spelling of 4104024432 in words is "four billion, one hundred four million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 163 201 268 326 402 489 536 652 804 978 1072 1304 1608 1956 2608 3216 3912 7824 7829 10921 15658 21842 23487 31316 32763 43684 46974 62632 65526 87368 93948 125264 131052 174736 187896 262104 375792 524208 524543 1049086 1276127 1573629 2098172 2552254 3147258 3828381 4196344 5104508 6294516 7656762 8392688 10209016 12589032 15313524 20418032 25178064 30627048 61254096 85500509 171001018 256501527 342002036 513003054 684004072 1026006108 1368008144 2052012216 4104024432