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489245040 = 243251739971
BaseRepresentation
bin11101001010010…
…100100101110000
31021002121020000200
4131022110211300
52000221320130
6120314115200
715060341244
oct3512244560
91232536020
10489245040
11231191049
12117a1bb00
137a48aa0b
1448d96424
152ce41760
hex1d294970

489245040 has 120 divisors (see below), whose sum is σ = 1739741328. Its totient is φ = 122787840.

The previous prime is 489245039. The next prime is 489245047. The reversal of 489245040 is 40542984.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 489244986 and 489245004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489245047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7746 + ... + 32225.

Almost surely, 2489245040 is an apocalyptic number.

489245040 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 489245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869870664).

489245040 is an abundant number, since it is smaller than the sum of its proper divisors (1250496288).

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

489245040 is a wasteful number, since it uses less digits than its factorization.

489245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40007 (or 39998 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 489245040 is about 22118.8842394909. The cubic root of 489245040 is about 787.9684167128.

The spelling of 489245040 in words is "four hundred eighty-nine million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 39971 79942 119913 159884 199855 239826 319768 359739 399710 479652 599565 639536 679507 719478 799420 959304 1199130 1359014 1438956 1598840 1798695 1918608 2038521 2398260 2718028 2877912 3197680 3397535 3597390 4077042 4796520 5436056 5755824 6115563 6795070 7194780 8154084 9593040 10192605 10872112 12231126 13590140 14389560 16308168 20385210 24462252 27180280 28779120 30577815 32616336 40770420 48924504 54360560 61155630 81540840 97849008 122311260 163081680 244622520 489245040