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488626000 = 2453244313
BaseRepresentation
bin11101000111111…
…101011101010000
31021001102202212021
4131013331131100
52000042013000
6120252541224
715052152412
oct3507753520
91231382767
10488626000
112308a8a45
12117781814
137a302015
1448c749b2
152cd6d11a
hex1d1fd750

488626000 has 40 divisors (see below), whose sum is σ = 1181502504. Its totient is φ = 195449600.

The previous prime is 488625997. The next prime is 488626009. The reversal of 488626000 is 626884.

It can be written as a sum of positive squares in 4 ways, for example, as 155052304 + 333573696 = 12452^2 + 18264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488626009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120157 + ... + 124156.

Almost surely, 2488626000 is an apocalyptic number.

488626000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488626000 is an abundant number, since it is smaller than the sum of its proper divisors (692876504).

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

488626000 is a wasteful number, since it uses less digits than its factorization.

488626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244336 (or 244320 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 488626000 is about 22104.8863376404. The cubic root of 488626000 is about 787.6359385720.

The spelling of 488626000 in words is "four hundred eighty-eight million, six hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 244313 488626 977252 1221565 1954504 2443130 3909008 4886260 6107825 9772520 12215650 19545040 24431300 30539125 48862600 61078250 97725200 122156500 244313000 488626000