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455414656 = 2710135227
BaseRepresentation
bin11011001001010…
…001001110000000
31011201221110110111
4123021101032000
51413041232111
6113105041104
714166650344
oct3311211600
91151843414
10455414656
11214084854
12108626194
1373474438
14446ab624
1529eaca21
hex1b251380

455414656 has 32 divisors (see below), whose sum is σ = 916280280. Its totient is φ = 225446400.

The previous prime is 455414653. The next prime is 455414657. The reversal of 455414656 is 656414554.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455414653) 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 3 ways as a sum of consecutive naturals, for example, 4686 + ... + 30541.

Almost surely, 2455414656 is an apocalyptic number.

It is an amenable number.

455414656 is an abundant number, since it is smaller than the sum of its proper divisors (460865624).

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

455414656 is a wasteful number, since it uses less digits than its factorization.

455414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35342 (or 35330 counting only the distinct ones).

The product of its digits is 288000, while the sum is 40.

The square root of 455414656 is about 21340.4464808026. The cubic root of 455414656 is about 769.3707435616.

The spelling of 455414656 in words is "four hundred fifty-five million, four hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 35227 70454 140908 281816 563632 1127264 2254528 3557927 4509056 7115854 14231708 28463416 56926832 113853664 227707328 455414656