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489708900 = 2232525091069
BaseRepresentation
bin11101001100000…
…101110101100100
31021010110210022200
4131030011311210
52000331141100
6120332054500
715064312512
oct3514056544
91233423280
10489708900
112314785aa
12118004430
137a5c0ba5
14490774b2
152ced3e00
hex1d305d64

489708900 has 108 divisors (see below), whose sum is σ = 1539419700. Its totient is φ = 130210560.

The previous prime is 489708899. The next prime is 489708917. The reversal of 489708900 is 9807984.

It can be written as a sum of positive squares in 6 ways, for example, as 60516 + 489648384 = 246^2 + 22128^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 457566 + ... + 458634.

Almost surely, 2489708900 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 489708900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769709850).

489708900 is an abundant number, since it is smaller than the sum of its proper divisors (1049710800).

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

489708900 is a wasteful number, since it uses less digits than its factorization.

489708900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 489708900 is about 22129.3673655620. The cubic root of 489708900 is about 788.2173659759.

The spelling of 489708900 in words is "four hundred eighty-nine million, seven hundred eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 509 900 1018 1069 1527 2036 2138 2545 3054 3207 4276 4581 5090 5345 6108 6414 7635 9162 9621 10180 10690 12725 12828 15270 16035 18324 19242 21380 22905 25450 26725 30540 32070 38175 38484 45810 48105 50900 53450 64140 76350 80175 91620 96210 106900 114525 152700 160350 192420 229050 240525 320700 458100 481050 544121 962100 1088242 1632363 2176484 2720605 3264726 4897089 5441210 6529452 8161815 9794178 10882420 13603025 16323630 19588356 24485445 27206050 32647260 40809075 48970890 54412100 81618150 97941780 122427225 163236300 244854450 489708900