[go: up one dir, main page]

Search a number
-
+
454500 = 223253101
BaseRepresentation
bin1101110111101100100
3212002110100
41232331210
5104021000
613424100
73602034
oct1567544
9762410
10454500
11290522
1219b030
1312bb47
14bb8c4
158ea00
hex6ef64

454500 has 72 divisors (see below), whose sum is σ = 1447992. Its totient is φ = 120000.

The previous prime is 454483. The next prime is 454501. The reversal of 454500 is 5454.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 451584 = 54^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454501) by changing a digit.

454500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4450 + ... + 4550.

It is an arithmetic number, because the mean of its divisors is an integer number (20111).

2454500 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 454500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723996).

454500 is an abundant number, since it is smaller than the sum of its proper divisors (993492).

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

454500 is a wasteful number, since it uses less digits than its factorization.

454500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 454500 is about 674.1661516273. The cubic root of 454500 is about 76.8855329609.

Adding to 454500 its reverse (5454), we get a palindrome (459954).

It can be divided in two parts, 45 and 4500, that multiplied together give a square (202500 = 4502).

The spelling of 454500 in words is "four hundred fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 101 125 150 180 202 225 250 300 303 375 404 450 500 505 606 750 900 909 1010 1125 1212 1500 1515 1818 2020 2250 2525 3030 3636 4500 4545 5050 6060 7575 9090 10100 12625 15150 18180 22725 25250 30300 37875 45450 50500 75750 90900 113625 151500 227250 454500