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454996458 = 232721921429
BaseRepresentation
bin11011000111101…
…011000111101010
31011201011012210200
4123013223013222
51412434341313
6113052053030
714163256200
oct3307530752
91151135720
10454996458
11213919634
12108464176
1373358c97
14445dd070
1529e28b73
hex1b1eb1ea

454996458 has 108 divisors (see below), whose sum is σ = 1211157090. Its totient is φ = 123070752.

The previous prime is 454996453. The next prime is 454996469. The reversal of 454996458 is 854699454.

454996458 is a `hidden beast` number, since 4 + 549 + 96 + 4 + 5 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 447195609 + 7800849 = 21147^2 + 2793^2 .

It is not an unprimeable number, because it can be changed into a prime (454996453) 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 53 ways as a sum of consecutive naturals, for example, 317688 + ... + 319116.

Almost surely, 2454996458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454996458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605578545).

454996458 is an abundant number, since it is smaller than the sum of its proper divisors (756160632).

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

454996458 is a wasteful number, since it uses less digits than its factorization.

454996458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1460 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 454996458 is about 21330.6459817794. The cubic root of 454996458 is about 769.1351722806.

The spelling of 454996458 in words is "four hundred fifty-four million, nine hundred ninety-six thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 361 399 441 722 798 882 931 1083 1197 1429 1862 2166 2394 2527 2793 2858 3249 4287 5054 5586 6498 7581 8379 8574 10003 12861 15162 16758 17689 20006 22743 25722 27151 30009 35378 45486 53067 54302 60018 70021 81453 90027 106134 140042 159201 162906 180054 190057 210063 244359 318402 380114 420126 488718 515869 570171 630189 1031738 1140342 1260378 1330399 1547607 1710513 2660798 3095214 3421026 3611083 3991197 4642821 7222166 7982394 9285642 10833249 11973591 21666498 23947182 25277581 32499747 50555162 64999494 75832743 151665486 227498229 454996458