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1456040456 = 231321076953
BaseRepresentation
bin101011011001001…
…0110101000001000
310202110210112000022
41112302112220020
510440221243311
6400252000012
751040065623
oct12662265010
93673715008
101456040456
11687995822
12347760008
131a2870400
14db53cdba
1587c645db
hex56c96a08

1456040456 has 24 divisors (see below), whose sum is σ = 2956238730. Its totient is φ = 672018048.

The previous prime is 1456040437. The next prime is 1456040483. The reversal of 1456040456 is 6540406541.

It can be written as a sum of positive squares in 3 ways, for example, as 891977956 + 564062500 = 29866^2 + 23750^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 537125 + ... + 539828.

Almost surely, 21456040456 is an apocalyptic number.

It is an amenable number.

1456040456 is an abundant number, since it is smaller than the sum of its proper divisors (1500198274).

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

1456040456 is a wasteful number, since it uses less digits than its factorization.

1456040456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076985 (or 1076968 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 1456040456 is about 38158.0981706374. The cubic root of 1456040456 is about 1133.4207190597.

Adding to 1456040456 its reverse (6540406541), we get a palindrome (7996446997).

The spelling of 1456040456 in words is "one billion, four hundred fifty-six million, forty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1076953 2153906 4307812 8615624 14000389 28000778 56001556 112003112 182005057 364010114 728020228 1456040456