Search a number
-
+
4106454246 = 234317871039
BaseRepresentation
bin1111010011000011…
…1000010011100110
3101121012000111020000
43310300320103212
531402223013441
61515251322130
7203522166546
oct36460702346
911535014200
104106454246
111817a93944
129672b0346
135059b4bab
142ad545326
151907a22b6
hexf4c384e6

4106454246 has 80 divisors (see below), whose sum is σ = 9519544320. Its totient is φ = 1321706160.

The previous prime is 4106454241. The next prime is 4106454281. The reversal of 4106454246 is 6424546014.

4106454246 is a `hidden beast` number, since 4 + 1 + 0 + 645 + 4 + 2 + 4 + 6 = 666.

4106454246 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4106454246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106454241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3951795 + ... + 3952833.

It is an arithmetic number, because the mean of its divisors is an integer number (118994304).

Almost surely, 24106454246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106454246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759772160).

4106454246 is an abundant number, since it is smaller than the sum of its proper divisors (5413090074).

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

4106454246 is a wasteful number, since it uses less digits than its factorization.

4106454246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4106454246 is about 64081.6217491411. The cubic root of 4106454246 is about 1601.3600734954.

The spelling of 4106454246 in words is "four billion, one hundred six million, four hundred fifty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 787 837 1039 1574 1674 2078 2361 2511 3117 4722 5022 6234 7083 9351 14166 18702 21249 24397 28053 32209 42498 48794 56106 63747 64418 73191 84159 96627 127494 146382 168318 193254 219573 289881 439146 579762 658719 817693 869643 1317438 1635386 1739286 1976157 2453079 2608929 3952314 4906158 5217858 7359237 14718474 22077711 25348483 44155422 50696966 66233133 76045449 132466266 152090898 228136347 456272694 684409041 1368818082 2053227123 4106454246