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450020256 = 2537669673
BaseRepresentation
bin11010110100101…
…100001110100000
31011100210101201220
4122310230032200
51410201122011
6112353255040
714103052260
oct3264541640
91140711656
10450020256
1121102a974
12106864480
1372305c9a
1443aa57a0
1529794506
hex1ad2c3a0

450020256 has 48 divisors (see below), whose sum is σ = 1350062784. Its totient is φ = 128577024.

The previous prime is 450020251. The next prime is 450020267. The reversal of 450020256 is 652020054.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (450020251) 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 7 ways as a sum of consecutive naturals, for example, 334165 + ... + 335508.

It is an arithmetic number, because the mean of its divisors is an integer number (28126308).

Almost surely, 2450020256 is an apocalyptic number.

It is an amenable number.

450020256 is an abundant number, since it is smaller than the sum of its proper divisors (900042528).

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

450020256 is a wasteful number, since it uses less digits than its factorization.

450020256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669693 (or 669685 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 450020256 is about 21213.6808687224. The cubic root of 450020256 is about 766.3209302683.

The spelling of 450020256 in words is "four hundred fifty million, twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 669673 1339346 2009019 2678692 4018038 4687711 5357384 8036076 9375422 10714768 14063133 16072152 18750844 21429536 28126266 32144304 37501688 56252532 64288608 75003376 112505064 150006752 225010128 450020256