Search a number
-
+
4106351052 = 2235972449
BaseRepresentation
bin1111010011000001…
…1111000111001100
3101121011211020200000
43310300133013030
531402211213202
61515245204300
7203521256646
oct36460370714
911534736600
104106351052
111817a23361
12967260690
13505979c2b
142ad519896
1519078191c
hexf4c1f1cc

4106351052 has 108 divisors (see below), whose sum is σ = 10900726200. Its totient is φ = 1351655424.

The previous prime is 4106351027. The next prime is 4106351083. The reversal of 4106351052 is 2501536014.

4106351052 is a `hidden beast` number, since 4 + 10 + 635 + 10 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9145324 + ... + 9145772.

It is an arithmetic number, because the mean of its divisors is an integer number (100932650).

Almost surely, 24106351052 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 4106351052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450363100).

4106351052 is an abundant number, since it is smaller than the sum of its proper divisors (6794375148).

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

4106351052 is an equidigital number, since it uses as much as digits as its factorization.

4106351052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4106351052 is about 64080.8165678310. The cubic root of 4106351052 is about 1601.3466594788.

Adding to 4106351052 its reverse (2501536014), we get a palindrome (6607887066).

The spelling of 4106351052 in words is "four billion, one hundred six million, three hundred fifty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 243 291 324 388 449 486 582 873 898 972 1164 1347 1746 1796 2619 2694 3492 4041 5238 5388 7857 8082 9409 10476 12123 15714 16164 18818 23571 24246 28227 31428 36369 37636 43553 47142 48492 56454 72738 84681 87106 94284 109107 112908 130659 145476 169362 174212 218214 254043 261318 338724 391977 436428 508086 522636 762129 783954 1016172 1175931 1524258 1567908 2286387 2351862 3048516 3527793 4224641 4572774 4703724 7055586 8449282 9145548 10583379 12673923 14111172 16898564 21166758 25347846 38021769 42333516 50695692 76043538 114065307 152087076 228130614 342195921 456261228 684391842 1026587763 1368783684 2053175526 4106351052