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490250009200 = 24527389450101
BaseRepresentation
bin1110010001001010010…
…11010111101001110000
31201212102100212212021011
413020211023113221300
531013013000243300
61013115011040304
750263565215240
oct7104513275160
91655370785234
10490250009200
11179a06393066
127b01b8a0094
13372cc1a7253
1419a2a37db20
15cb44babeba
hex72252d7a70

490250009200 has 120 divisors (see below), whose sum is σ = 1349549828640. Its totient is φ = 167653248000.

The previous prime is 490250009153. The next prime is 490250009243. The reversal of 490250009200 is 2900052094.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 864150 + ... + 1314250.

It is an arithmetic number, because the mean of its divisors is an integer number (11246248572).

Almost surely, 2490250009200 is an apocalyptic number.

490250009200 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 490250009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674774914320).

490250009200 is an abundant number, since it is smaller than the sum of its proper divisors (859299819440).

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

490250009200 is a wasteful number, since it uses less digits than its factorization.

490250009200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450515 (or 450504 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 490250009200 in words is "four hundred ninety billion, two hundred fifty million, nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 389 400 560 700 778 1400 1556 1945 2723 2800 3112 3890 5446 6224 7780 9725 10892 13615 15560 19450 21784 27230 31120 38900 43568 54460 68075 77800 108920 136150 155600 217840 272300 450101 544600 900202 1089200 1800404 2250505 3150707 3600808 4501010 6301414 7201616 9002020 11252525 12602828 15753535 18004040 22505050 25205656 31507070 36008080 45010100 50411312 63014140 78767675 90020200 126028280 157535350 175089289 180040400 252056560 315070700 350178578 630141400 700357156 875446445 1225625023 1260282800 1400714312 1750892890 2451250046 2801428624 3501785780 4377232225 4902500092 6128125115 7003571560 8754464450 9805000184 12256250230 14007143120 17508928900 19610000368 24512500460 30640625575 35017857800 49025000920 61281251150 70035715600 98050001840 122562502300 245125004600 490250009200