[go: up one dir, main page]

Search a number
-
+
4556032 = 2813372
BaseRepresentation
bin10001011000010100000000
322120110200221
4101120110000
52131243112
6241352424
753503615
oct21302400
98513627
104556032
112632018
121638714
13c369a0
1486850c
155eee07
hex458500

4556032 has 54 divisors (see below), whose sum is σ = 10065678. Its totient is φ = 2045952.

The previous prime is 4556023. The next prime is 4556033. The reversal of 4556032 is 2306554.

It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 2876416 = 1296^2 + 1696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4555988 and 4556006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4556033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123118 + ... + 123154.

Almost surely, 24556032 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 4556032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032839).

4556032 is an abundant number, since it is smaller than the sum of its proper divisors (5509646).

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

4556032 is an equidigital number, since it uses as much as digits as its factorization.

4556032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 4556032 is about 2134.4863550747. The cubic root of 4556032 is about 165.7787733839.

The spelling of 4556032 in words is "four million, five hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 592 832 962 1184 1369 1664 1924 2368 2738 3328 3848 4736 5476 7696 9472 10952 15392 17797 21904 30784 35594 43808 61568 71188 87616 123136 142376 175232 284752 350464 569504 1139008 2278016 4556032