Search a number
-
+
4411007104 = 2775239413
BaseRepresentation
bin1000001101110101…
…01010000010000000
3102101102002101012111
410012322222002000
533013204211404
62005411105104
7214210641010
oct40672520200
912342071174
104411007104
111963997a19
12a312a2194
13553b1809a
142dbb81c40
151ac3b0104
hex106eaa080

4411007104 has 64 divisors (see below), whose sum is σ = 10063189440. Its totient is φ = 1886616576.

The previous prime is 4411007077. The next prime is 4411007129. The reversal of 4411007104 is 4017001144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463902 + ... + 473314.

It is an arithmetic number, because the mean of its divisors is an integer number (157237335).

Almost surely, 24411007104 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 4411007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031594720).

4411007104 is an abundant number, since it is smaller than the sum of its proper divisors (5652182336).

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

4411007104 is an equidigital number, since it uses as much as digits as its factorization.

4411007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 4411007104 is about 66415.4131508643. The cubic root of 4411007104 is about 1640.0078207043.

Adding to 4411007104 its reverse (4017001144), we get a palindrome (8428008248).

The spelling of 4411007104 in words is "four billion, four hundred eleven million, seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 523 896 1046 2092 3661 4184 7322 8368 9413 14644 16736 18826 29288 33472 37652 58576 65891 66944 75304 117152 131782 150608 234304 263564 301216 468608 527128 602432 1054256 1204864 2108512 4217024 4922999 8434048 9845998 19691996 34460993 39383992 68921986 78767984 137843972 157535968 275687944 315071936 551375888 630143872 1102751776 2205503552 4411007104