Search a number
-
+
450424422 = 23375322483
BaseRepresentation
bin11010110110001…
…110111001100110
31011101112221011000
4122312032321212
51410302040142
6112410054130
714106354510
oct3266167146
91141487130
10450424422
11211286598
12106a1a346
1372417c36
1443b6cbb0
152982414c
hex1ad8ee66

450424422 has 64 divisors (see below), whose sum is σ = 1165570560. Its totient is φ = 126258912.

The previous prime is 450424411. The next prime is 450424439. The reversal of 450424422 is 224424054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8793 + ... + 31275.

It is an arithmetic number, because the mean of its divisors is an integer number (18212040).

Almost surely, 2450424422 is an apocalyptic number.

450424422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 450424422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582785280).

450424422 is an abundant number, since it is smaller than the sum of its proper divisors (715146138).

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

450424422 is a wasteful number, since it uses less digits than its factorization.

450424422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22554 (or 22548 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 450424422 is about 21223.2048004066. The cubic root of 450424422 is about 766.5502741601.

Adding to 450424422 its reverse (224424054), we get a palindrome (674848476).

The spelling of 450424422 in words is "four hundred fifty million, four hundred twenty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2862 3339 6678 10017 20034 22483 44966 67449 134898 157381 202347 314762 404694 472143 607041 944286 1191599 1214082 1416429 2383198 2832858 3574797 4249287 7149594 8341193 8498574 10724391 16682386 21448782 25023579 32173173 50047158 64346346 75070737 150141474 225212211 450424422