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1456441332 = 223121370111
BaseRepresentation
bin101011011001111…
…1000011111110100
310202111112212220120
41112303320133310
510440322110312
6400304331540
751043355433
oct12663703764
93674485816
101456441332
11688139a25
12347913bb0
131a2980a08
14db60511a
1587ce328c
hex56cf87f4

1456441332 has 12 divisors (see below), whose sum is σ = 3398363136. Its totient is φ = 485480440.

The previous prime is 1456441331. The next prime is 1456441367. The reversal of 1456441332 is 2331446541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 1456441293 and 1456441302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456441331) 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 3 ways as a sum of consecutive naturals, for example, 60685044 + ... + 60685067.

It is an arithmetic number, because the mean of its divisors is an integer number (283196928).

Almost surely, 21456441332 is an apocalyptic number.

1456441332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1456441332 is an abundant number, since it is smaller than the sum of its proper divisors (1941921804).

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

1456441332 is a wasteful number, since it uses less digits than its factorization.

1456441332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121370118 (or 121370116 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 1456441332 is about 38163.3506390621. The cubic root of 1456441332 is about 1133.5247270380.

Adding to 1456441332 its reverse (2331446541), we get a palindrome (3787887873).

The spelling of 1456441332 in words is "one billion, four hundred fifty-six million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 121370111 242740222 364110333 485480444 728220666 1456441332