Search a number
-
+
4248899100 = 22325243310903
BaseRepresentation
bin1111110101000001…
…0000111000011100
3101222010001102211100
43331100100320130
532200204232400
61541340353100
7210202021635
oct37520207034
911863042740
104248899100
111890435866
129a6b45790
13529369ca4
142c442488c
1519d03d100
hexfd410e1c

4248899100 has 108 divisors (see below), whose sum is σ = 13349919856. Its totient is φ = 1130319360.

The previous prime is 4248899027. The next prime is 4248899113. The reversal of 4248899100 is 19988424.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384249 + ... + 395151.

Almost surely, 24248899100 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 4248899100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674959928).

4248899100 is an abundant number, since it is smaller than the sum of its proper divisors (9101020756).

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

4248899100 is a wasteful number, since it uses less digits than its factorization.

4248899100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11356 (or 11346 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4248899100 is about 65183.5799876012. The cubic root of 4248899100 is about 1619.6660262613. Note that the first 3 decimals are identical.

The spelling of 4248899100 in words is "four billion, two hundred forty-eight million, eight hundred ninety-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 433 450 866 900 1299 1732 2165 2598 3897 4330 5196 6495 7794 8660 10825 10903 12990 15588 19485 21650 21806 25980 32475 32709 38970 43300 43612 54515 64950 65418 77940 97425 98127 109030 129900 130836 163545 194850 196254 218060 272575 327090 389700 392508 490635 545150 654180 817725 981270 1090300 1635450 1962540 2453175 3270900 4720999 4906350 9441998 9812700 14162997 18883996 23604995 28325994 42488991 47209990 56651988 70814985 84977982 94419980 118024975 141629970 169955964 212444955 236049950 283259940 354074925 424889910 472099900 708149850 849779820 1062224775 1416299700 2124449550 4248899100