[go: up one dir, main page]

Search a number
-
+
4672096 = 2511131021
BaseRepresentation
bin10001110100101001100000
322210100220121
4101310221200
52144001341
6244050024
754466162
oct21645140
98710817
104672096
112701240
121693914
13c77770
14898932
156244d1
hex474a60

4672096 has 48 divisors (see below), whose sum is σ = 10816848. Its totient is φ = 1958400.

The previous prime is 4672049. The next prime is 4672097. The reversal of 4672096 is 6902764.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4066 + ... + 5086.

It is an arithmetic number, because the mean of its divisors is an integer number (225351).

Almost surely, 24672096 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 4672096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408424).

4672096 is an abundant number, since it is smaller than the sum of its proper divisors (6144752).

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

4672096 is a wasteful number, since it uses less digits than its factorization.

4672096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 4672096 is about 2161.5031806592. The cubic root of 4672096 is about 167.1747128718.

The spelling of 4672096 in words is "four million, six hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1021 1144 2042 2288 4084 4576 8168 11231 13273 16336 22462 26546 32672 44924 53092 89848 106184 146003 179696 212368 292006 359392 424736 584012 1168024 2336048 4672096