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452912128 = 2102571721
BaseRepresentation
bin11010111111101…
…110010000000000
31011120020022122021
4122333232100000
51411421142003
6112535251224
714136455344
oct3277562000
91146208567
10452912128
11212725649
12107819b14
1372aa9356
1444219624
1529b662bd
hex1afee400

452912128 has 44 divisors (see below), whose sum is σ = 909432972. Its totient is φ = 225443840.

The previous prime is 452912093. The next prime is 452912149. The reversal of 452912128 is 821219254.

It can be written as a sum of positive squares in 2 ways, for example, as 405136384 + 47775744 = 20128^2 + 6912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 452912093 and 452912102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262308 + ... + 264028.

Almost surely, 2452912128 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 452912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454716486).

452912128 is an abundant number, since it is smaller than the sum of its proper divisors (456520844).

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

452912128 is a wasteful number, since it uses less digits than its factorization.

452912128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1980 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 452912128 is about 21281.7322603213. The cubic root of 452912128 is about 767.9589098386.

The spelling of 452912128 in words is "four hundred fifty-two million, nine hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 1721 2056 3442 4112 6884 8224 13768 16448 27536 32896 55072 65792 110144 131584 220288 263168 440576 442297 881152 884594 1762304 1769188 3538376 7076752 14153504 28307008 56614016 113228032 226456064 452912128