Search a number
-
+
4871104 = 26783131
BaseRepresentation
bin10010100101001111000000
3100011110220021
4102211033000
52221333404
6252223224
756255320
oct22451700
910143807
104871104
112827807
12176ab14
131017214
1490b280
15663454
hex4a53c0

4871104 has 56 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 2046720.

The previous prime is 4871093. The next prime is 4871107. The reversal of 4871104 is 4011784.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4871107) 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, 37119 + ... + 37249.

It is an arithmetic number, because the mean of its divisors is an integer number (201168).

Almost surely, 24871104 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 4871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

4871104 is an abundant number, since it is smaller than the sum of its proper divisors (6394304).

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

4871104 is a wasteful number, since it uses less digits than its factorization.

4871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 4871104 is about 2207.0577699734. The cubic root of 4871104 is about 169.5153903354.

Adding to 4871104 its reverse (4011784), we get a palindrome (8882888).

The spelling of 4871104 in words is "four million, eight hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 131 166 224 262 332 448 524 581 664 917 1048 1162 1328 1834 2096 2324 2656 3668 4192 4648 5312 7336 8384 9296 10873 14672 18592 21746 29344 37184 43492 58688 76111 86984 152222 173968 304444 347936 608888 695872 1217776 2435552 4871104