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484075000 = 235517267
BaseRepresentation
bin11100110110100…
…110010111111000
31020201212120001201
4130312212113320
51442410400000
6120011223544
714665366243
oct3466462770
91221776051
10484075000
1122927a792
12116147bb4
137939a716
144840c25a
152c76e96a
hex1cda65f8

484075000 has 144 divisors (see below), whose sum is σ = 1223124840. Its totient is φ = 179520000.

The previous prime is 484074991. The next prime is 484075001. The reversal of 484075000 is 570484.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 484075000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484075001) 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 35 ways as a sum of consecutive naturals, for example, 7224967 + ... + 7225033.

Almost surely, 2484075000 is an apocalyptic number.

484075000 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 484075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611562420).

484075000 is an abundant number, since it is smaller than the sum of its proper divisors (739049840).

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

484075000 is an equidigital number, since it uses as much as digits as its factorization.

484075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 484075000 is about 22001.7044794261. The cubic root of 484075000 is about 785.1829938375.

The spelling of 484075000 in words is "four hundred eighty-four million, seventy-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 67 68 85 100 125 134 136 170 200 250 268 289 335 340 425 500 536 578 625 670 680 850 1000 1139 1156 1250 1340 1445 1675 1700 2125 2278 2312 2500 2680 2890 3125 3350 3400 4250 4556 5000 5695 5780 6250 6700 7225 8375 8500 9112 10625 11390 11560 12500 13400 14450 16750 17000 19363 21250 22780 25000 28475 28900 33500 36125 38726 41875 42500 45560 53125 56950 57800 67000 72250 77452 83750 85000 96815 106250 113900 142375 144500 154904 167500 180625 193630 209375 212500 227800 284750 289000 335000 361250 387260 418750 425000 484075 569500 711875 722500 774520 837500 903125 968150 1139000 1423750 1445000 1675000 1806250 1936300 2420375 2847500 3559375 3612500 3872600 4840750 5695000 7118750 7225000 9681500 12101875 14237500 19363000 24203750 28475000 48407500 60509375 96815000 121018750 242037500 484075000