Search a number
-
+
4428420048 = 2432135034703
BaseRepresentation
bin1000001111111010…
…00101001111010000
3102102121212001021100
410013331011033100
533032133420143
62011232224400
7214511643423
oct40775051720
912377761240
104428420048
111972800588
12a3709b100
13557603ac0
143001d59ba
151adb9e6d3
hex107f453d0

4428420048 has 120 divisors (see below), whose sum is σ = 13376143872. Its totient is φ = 1359592704.

The previous prime is 4428420013. The next prime is 4428420071. The reversal of 4428420048 is 8400248244.

4428420048 is a `hidden beast` number, since 442 + 8 + 4 + 200 + 4 + 8 = 666.

It is a super-2 number, since 2×44284200482 = 39221808243056644608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4428419994 and 4428420021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939265 + ... + 943967.

Almost surely, 24428420048 is an apocalyptic number.

4428420048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4428420048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688071936).

4428420048 is an abundant number, since it is smaller than the sum of its proper divisors (8947723824).

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

4428420048 is a wasteful number, since it uses less digits than its factorization.

4428420048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4428420048 is about 66546.3751679984. The cubic root of 4428420048 is about 1642.1630253298.

The spelling of 4428420048 in words is "four billion, four hundred twenty-eight million, four hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 503 624 936 1006 1509 1872 2012 3018 4024 4527 4703 6036 6539 8048 9054 9406 12072 13078 14109 18108 18812 19617 24144 26156 28218 36216 37624 39234 42327 52312 56436 58851 61139 72432 75248 78468 84654 104624 112872 117702 122278 156936 169308 183417 225744 235404 244556 313872 338616 366834 470808 489112 550251 677232 733668 941616 978224 1100502 1467336 2201004 2365609 2934672 4402008 4731218 7096827 8804016 9462436 14193654 18924872 21290481 28387308 30752917 37849744 42580962 56774616 61505834 85161924 92258751 113549232 123011668 170323848 184517502 246023336 276776253 340647696 369035004 492046672 553552506 738070008 1107105012 1476140016 2214210024 4428420048