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490947000 = 23353315279
BaseRepresentation
bin11101010000110…
…100000110111000
31021012210200200020
4131100310012320
52001140301000
6120414410440
715110660235
oct3520640670
91235720606
10490947000
11232143825
12118500a20
137a9355ab
14492ba78c
152d17aba0
hex1d4341b8

490947000 has 128 divisors (see below), whose sum is σ = 1581465600. Its totient is φ = 126672000.

The previous prime is 490946957. The next prime is 490947011. The reversal of 490947000 is 749094.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90361 + ... + 95639.

It is an arithmetic number, because the mean of its divisors is an integer number (12355200).

Almost surely, 2490947000 is an apocalyptic number.

490947000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490947000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790732800).

490947000 is an abundant number, since it is smaller than the sum of its proper divisors (1090518600).

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

490947000 is a wasteful number, since it uses less digits than its factorization.

490947000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 490947000 is about 22157.3238456272. The cubic root of 490947000 is about 788.8810736366.

The spelling of 490947000 in words is "four hundred ninety million, nine hundred forty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 5279 6200 7750 9300 10558 11625 15500 15837 18600 21116 23250 26395 31000 31674 42232 46500 52790 63348 79185 93000 105580 126696 131975 158370 163649 211160 263950 316740 327298 395925 490947 527900 633480 654596 659875 791850 818245 981894 1055800 1309192 1319750 1583700 1636490 1963788 1979625 2454735 2639500 3167400 3272980 3927576 3959250 4091225 4909470 5279000 6545960 7918500 8182450 9818940 12273675 15837000 16364900 19637880 20456125 24547350 32729800 40912250 49094700 61368375 81824500 98189400 122736750 163649000 245473500 490947000