[go: up one dir, main page]

Search a number
-
+
453988249 = 1121321492
BaseRepresentation
bin11011000011110…
…100111110011001
31011122020222210121
4123003310332121
51412210110444
6113014313241
714151556621
oct3303647631
91148228717
10453988249
112132a0100
12108058821
1373095100
1444419881
1529cca084
hex1b0f4f99

453988249 has 27 divisors (see below), whose sum is σ = 544000989. Its totient is φ = 378412320.

The previous prime is 453988219. The next prime is 453988277. The reversal of 453988249 is 942889354.

The square root of 453988249 is 21307.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 245705625 + 208282624 = 15675^2 + 14432^2 .

It is a de Polignac number, because none of the positive numbers 2k-453988249 is a prime.

It is a super-2 number, since 2×4539882492 = 412210660460172002, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 453988196 and 453988205.

It is not an unprimeable number, because it can be changed into a prime (453988219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3046827 + ... + 3046975.

Almost surely, 2453988249 is an apocalyptic number.

453988249 is the 21307-th square number.

453988249 is the 10654-th centered octagonal number.

It is an amenable number.

453988249 is a deficient number, since it is larger than the sum of its proper divisors (90012740).

453988249 is a wasteful number, since it uses less digits than its factorization.

453988249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The cubic root of 453988249 is about 768.5666532238.

The spelling of 453988249 in words is "four hundred fifty-three million, nine hundred eighty-eight thousand, two hundred forty-nine".

Divisors: 1 11 13 121 143 149 169 1573 1639 1859 1937 18029 20449 21307 22201 25181 234377 244211 276991 288613 2686321 3046901 3174743 3751969 34922173 41271659 453988249