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489798900 = 223452173557
BaseRepresentation
bin11101001100011…
…011110011110100
31021010122100210000
4131030123303310
52000342031100
6120334031300
715065136063
oct3514336364
91233570700
10489798900
1123152a188
12118048530
137a622b46
144909c1da
152d000900
hex1d31bcf4

489798900 has 180 divisors, whose sum is σ = 1681603308. Its totient is φ = 122895360.

The previous prime is 489798889. The next prime is 489798901. The reversal of 489798900 is 9897984.

489798900 is a `hidden beast` number, since 489 + 79 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20903184 + 468895716 = 4572^2 + 21654^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489798901) 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 59 ways as a sum of consecutive naturals, for example, 135922 + ... + 139478.

Almost surely, 2489798900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489798900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840801654).

489798900 is an abundant number, since it is smaller than the sum of its proper divisors (1191804408).

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

489798900 is a wasteful number, since it uses less digits than its factorization.

489798900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 489798900 is about 22131.4007690431. The cubic root of 489798900 is about 788.2656499105.

The spelling of 489798900 in words is "four hundred eighty-nine million, seven hundred ninety-eight thousand, nine hundred".