Search a number
-
+
4042725228 = 2234193717749
BaseRepresentation
bin1111000011110111…
…0001011101101100
3101102202002201110000
43300331301131230
531234414201403
61505053344300
7202116411633
oct36075613554
911382081400
104042725228
111795016333
12949a98090
134c5730809
142a4cb651a
15189db47a3
hexf0f7176c

4042725228 has 120 divisors (see below), whose sum is σ = 11426030000. Its totient is φ = 1242076032.

The previous prime is 4042725217. The next prime is 4042725301. The reversal of 4042725228 is 8225272404.

4042725228 is a `hidden beast` number, since 4 + 0 + 427 + 2 + 5 + 228 = 666.

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 = 4042725192 and 4042725201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218898 + ... + 236646.

Almost surely, 24042725228 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 4042725228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713015000).

4042725228 is an abundant number, since it is smaller than the sum of its proper divisors (7383304772).

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

4042725228 is a wasteful number, since it uses less digits than its factorization.

4042725228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17821 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4042725228 is about 63582.4286104266. The cubic root of 4042725228 is about 1593.0328868481.

The spelling of 4042725228 in words is "four billion, forty-two million, seven hundred twenty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 324 333 342 444 513 666 684 703 999 1026 1332 1406 1539 1998 2052 2109 2812 2997 3078 3996 4218 5994 6156 6327 8436 11988 12654 17749 18981 25308 35498 37962 53247 56943 70996 75924 106494 113886 159741 212988 227772 319482 337231 479223 638964 656713 674462 958446 1011693 1313426 1348924 1437669 1916892 1970139 2023386 2626852 2875338 3035079 3940278 4046772 5750676 5910417 6070158 7880556 9105237 11820834 12140316 12477547 17731251 18210474 23641668 24955094 27315711 35462502 36420948 37432641 49910188 53193753 54631422 70925004 74865282 106387506 109262844 112297923 149730564 212775012 224595846 336893769 449191692 673787538 1010681307 1347575076 2021362614 4042725228