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489735440 = 24538915737
BaseRepresentation
bin11101001100001…
…100010100010000
31021010112010201122
4131030030110100
52000333013230
6120332421412
715064453055
oct3514142420
91233463648
10489735440
11231496537
12118017868
137a5cccac
144908302c
152cedbbe5
hex1d30c510

489735440 has 40 divisors (see below), whose sum is σ = 1141634520. Its totient is φ = 195378176.

The previous prime is 489735437. The next prime is 489735461. The reversal of 489735440 is 44537984.

It can be written as a sum of positive squares in 4 ways, for example, as 82664464 + 407070976 = 9092^2 + 20176^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 489735391 and 489735400.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23252 + ... + 38988.

It is an arithmetic number, because the mean of its divisors is an integer number (28540863).

Almost surely, 2489735440 is an apocalyptic number.

489735440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

489735440 is an abundant number, since it is smaller than the sum of its proper divisors (651899080).

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

489735440 is a wasteful number, since it uses less digits than its factorization.

489735440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16139 (or 16133 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 489735440 is about 22129.9670130798. The cubic root of 489735440 is about 788.2316049867.

The spelling of 489735440 in words is "four hundred eighty-nine million, seven hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 389 778 1556 1945 3112 3890 6224 7780 15560 15737 31120 31474 62948 78685 125896 157370 251792 314740 629480 1258960 6121693 12243386 24486772 30608465 48973544 61216930 97947088 122433860 244867720 489735440