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453299968 = 2811172557
BaseRepresentation
bin11011000001001…
…100111100000000
31011120222000122201
4123001030330000
51412021044333
6112551442544
714142662152
oct3301147400
91146860581
10453299968
1121296aa80
12107986454
1372bb3a44
14442baad2
1529be117d
hex1b04cf00

453299968 has 108 divisors (see below), whose sum is σ = 1050448392. Its totient is φ = 193576960.

The previous prime is 453299933. The next prime is 453299969. The reversal of 453299968 is 869992354.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453299969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813546 + ... + 814102.

It is an arithmetic number, because the mean of its divisors is an integer number (9726374).

Almost surely, 2453299968 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 453299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525224196).

453299968 is an abundant number, since it is smaller than the sum of its proper divisors (597148424).

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

453299968 is a wasteful number, since it uses less digits than its factorization.

453299968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 587 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 55.

The square root of 453299968 is about 21290.8423506446. The cubic root of 453299968 is about 768.1780547810.

The spelling of 453299968 in words is "four hundred fifty-three million, two hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 289 352 374 544 557 578 704 748 1088 1114 1156 1408 1496 2176 2228 2312 2816 2992 3179 4352 4456 4624 5984 6127 6358 8912 9248 9469 11968 12254 12716 17824 18496 18938 23936 24508 25432 35648 36992 37876 47872 49016 50864 71296 73984 75752 98032 101728 104159 142592 151504 160973 196064 203456 208318 303008 321946 392128 406912 416636 606016 643892 784256 813824 833272 1212032 1287784 1568512 1666544 1770703 2424064 2575568 3333088 3541406 5151136 6666176 7082812 10302272 13332352 14165624 20604544 26664704 28331248 41209088 56662496 113324992 226649984 453299968