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455440128 = 28311213229
BaseRepresentation
bin11011001001010…
…111011100000000
31011201222202101220
4123021113130000
51413043041003
6113105355040
714200114533
oct3311273400
91151882356
10455440128
112140a1a00
12108638a80
1373482c00
14446b6a1a
1529eb5353
hex1b257700

455440128 has 324 divisors, whose sum is σ = 1492467480. Its totient is φ = 123002880.

The previous prime is 455440121. The next prime is 455440129. The reversal of 455440128 is 821044554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455440121) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 15704818 + ... + 15704846.

Almost surely, 2455440128 is an apocalyptic number.

455440128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746233740).

455440128 is an abundant number, since it is smaller than the sum of its proper divisors (1037027352).

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

455440128 is a wasteful number, since it uses less digits than its factorization.

455440128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 455440128 is about 21341.0432734672. The cubic root of 455440128 is about 769.3850873002.

The spelling of 455440128 in words is "four hundred fifty-five million, four hundred forty thousand, one hundred twenty-eight".