Search a number
-
+
454057984 = 213431289
BaseRepresentation
bin11011000100000…
…110000000000000
31011122101112110101
4123010012000000
51412214323414
6113020012144
714152300132
oct3304060000
91148345411
10454057984
11213338536
12108091054
13730baa83
1444437052
1529ce0a74
hex1b106000

454057984 has 56 divisors (see below), whose sum is σ = 929899080. Its totient is φ = 221577216.

The previous prime is 454057949. The next prime is 454057987. The reversal of 454057984 is 489750454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454057987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 351612 + ... + 352900.

Almost surely, 2454057984 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 454057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464949540).

454057984 is an abundant number, since it is smaller than the sum of its proper divisors (475841096).

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

454057984 is an equidigital number, since it uses as much as digits as its factorization.

454057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 454057984 is about 21308.6363711994. The cubic root of 454057984 is about 768.6060031788.

The spelling of 454057984 in words is "four hundred fifty-four million, fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1289 1376 2048 2578 2752 4096 5156 5504 8192 10312 11008 20624 22016 41248 44032 55427 82496 88064 110854 164992 176128 221708 329984 352256 443416 659968 886832 1319936 1773664 2639872 3547328 5279744 7094656 10559488 14189312 28378624 56757248 113514496 227028992 454057984