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1450729458 = 2321910141999
BaseRepresentation
bin101011001111000…
…0101111111110010
310202002210200200200
41112132011333302
510432341320313
6355542100030
750643665643
oct12636057762
93662720620
101450729458
11684998572
12345a1a616
131a1730bc9
14da9596ca
1587565b73
hex56785ff2

1450729458 has 48 divisors (see below), whose sum is σ = 3341520000. Its totient is φ = 453578400.

The previous prime is 1450729453. The next prime is 1450729471. The reversal of 1450729458 is 8549270541.

1450729458 is a `hidden beast` number, since 1 + 4 + 507 + 2 + 94 + 58 = 666.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1450729451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13543 + ... + 55541.

It is an arithmetic number, because the mean of its divisors is an integer number (69615000).

Almost surely, 21450729458 is an apocalyptic number.

1450729458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450729458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760000).

1450729458 is an abundant number, since it is smaller than the sum of its proper divisors (1890790542).

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

1450729458 is a wasteful number, since it uses less digits than its factorization.

1450729458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42127 (or 42124 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1450729458 is about 38088.4425777689. The cubic root of 1450729458 is about 1132.0409659620.

Adding to 1450729458 its reverse (8549270541), we get a palindrome (9999999999).

The spelling of 1450729458 in words is "one billion, four hundred fifty million, seven hundred twenty-nine thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 342 606 909 1818 1919 3838 5757 11514 17271 34542 41999 83998 125997 251994 377991 755982 797981 1595962 2393943 4241899 4787886 7181829 8483798 12725697 14363658 25451394 38177091 76354182 80596081 161192162 241788243 483576486 725364729 1450729458