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478135000 = 2354719719
BaseRepresentation
bin11100011111111…
…100001011011000
31020022200202220201
4130133330023120
51434400310000
6115240031544
714564036410
oct3437741330
91208622821
10478135000
112259929a2
121141625b4
137809ab25
1447703640
152be9996a
hex1c7fc2d8

478135000 has 160 divisors (see below), whose sum is σ = 1349568000. Its totient is φ = 155088000.

The previous prime is 478134991. The next prime is 478135043. The reversal of 478135000 is 531874.

It is a super-2 number, since 2×4781350002 = 457226156450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 478135000.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 664641 + ... + 665359.

It is an arithmetic number, because the mean of its divisors is an integer number (8434800).

Almost surely, 2478135000 is an apocalyptic number.

478135000 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 478135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674784000).

478135000 is an abundant number, since it is smaller than the sum of its proper divisors (871433000).

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

478135000 is a wasteful number, since it uses less digits than its factorization.

478135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 478135000 is about 21866.2982692544. The cubic root of 478135000 is about 781.9581525782.

Adding to 478135000 its reverse (531874), we get a palindrome (478666874).

The spelling of 478135000 in words is "four hundred seventy-eight million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 625 665 700 719 760 875 950 1000 1064 1250 1330 1400 1438 1750 1900 2375 2500 2660 2876 3325 3500 3595 3800 4375 4750 5000 5033 5320 5752 6650 7000 7190 8750 9500 10066 11875 13300 13661 14380 16625 17500 17975 19000 20132 23750 25165 26600 27322 28760 33250 35000 35950 40264 47500 50330 54644 66500 68305 71900 83125 89875 95000 95627 100660 109288 125825 133000 136610 143800 166250 179750 191254 201320 251650 273220 332500 341525 359500 382508 449375 478135 503300 546440 629125 665000 683050 719000 765016 898750 956270 1006600 1258250 1366100 1707625 1797500 1912540 2390675 2516500 2732200 3145625 3415250 3595000 3825080 4781350 5033000 6291250 6830500 8538125 9562700 11953375 12582500 13661000 17076250 19125400 23906750 25165000 34152500 47813500 59766875 68305000 95627000 119533750 239067500 478135000