Search a number
-
+
4128958288 = 247132997787
BaseRepresentation
bin1111011000011010…
…1110011101010000
3101122202100210222001
43312012232131100
531424003131123
61521413523344
7204214365160
oct36606563520
911582323861
104128958288
111829764524
12972943554
1350a563cb0
142b25225a0
1519274a0ad
hexf61ae750

4128958288 has 80 divisors (see below), whose sum is σ = 10185598080. Its totient is φ = 1577092608.

The previous prime is 4128958261. The next prime is 4128958289. The reversal of 4128958288 is 8828598214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128958289) 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, 6670 + ... + 91117.

It is an arithmetic number, because the mean of its divisors is an integer number (127319976).

Almost surely, 24128958288 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 4128958288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092799040).

4128958288 is an abundant number, since it is smaller than the sum of its proper divisors (6056639792).

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

4128958288 is a wasteful number, since it uses less digits than its factorization.

4128958288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97844 (or 97838 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 55.

The square root of 4128958288 is about 64256.9707346993. The cubic root of 4128958288 is about 1604.2799846237.

The spelling of 4128958288 in words is "four billion, one hundred twenty-eight million, nine hundred fifty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 182 203 208 232 364 377 406 464 728 754 812 1456 1508 1624 2639 3016 3248 5278 6032 10556 21112 42224 97787 195574 391148 684509 782296 1271231 1369018 1564592 2542462 2738036 2835823 5084924 5476072 5671646 8898617 10169848 10952144 11343292 17797234 19850761 20339696 22686584 35594468 36865699 39701522 45373168 71188936 73731398 79403044 142377872 147462796 158806088 258059893 294925592 317612176 516119786 589851184 1032239572 2064479144 4128958288