Search a number
-
+
4604064 = 253199241
BaseRepresentation
bin10001100100000010100000
322122220120220
4101210002200
52134312224
6242403040
754063633
oct21440240
98586526
104604064
112665113
121660480
13c527ca
1487bc1a
1560e279
hex4640a0

4604064 has 48 divisors (see below), whose sum is σ = 12196800. Its totient is φ = 1520640.

The previous prime is 4604063. The next prime is 4604101.

4604064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4604063) 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, 18984 + ... + 19224.

It is an arithmetic number, because the mean of its divisors is an integer number (254100).

Almost surely, 24604064 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 4604064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098400).

4604064 is an abundant number, since it is smaller than the sum of its proper divisors (7592736).

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

4604064 is a wasteful number, since it uses less digits than its factorization.

4604064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4604064 is about 2145.7082746730. The cubic root of 4604064 is about 166.3593126606.

The spelling of 4604064 in words is "four million, six hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 241 398 482 597 723 796 964 1194 1446 1592 1928 2388 2892 3184 3856 4776 5784 6368 7712 9552 11568 19104 23136 47959 95918 143877 191836 287754 383672 575508 767344 1151016 1534688 2302032 4604064