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389478000 = 24353139467
BaseRepresentation
bin10111001101101…
…111011001110000
31000010212112101010
4113031233121300
51244201244000
6102351510520
712436336242
oct2715573160
91003775333
10389478000
1118a93964a
12aa528440
13628c9272
1439a26092
15242d5d50
hex1736f670

389478000 has 160 divisors (see below), whose sum is σ = 1267418880. Its totient is φ = 102892800.

The previous prime is 389477999. The next prime is 389478013. The reversal of 389478000 is 874983.

It is a super-2 number, since 2×3894780002 = 303386224968000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 389478000.

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 31 ways as a sum of consecutive naturals, for example, 833767 + ... + 834233.

It is an arithmetic number, because the mean of its divisors is an integer number (7921368).

Almost surely, 2389478000 is an apocalyptic number.

389478000 is a gapful number since it is divisible by the number (30) 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 389478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633709440).

389478000 is an abundant number, since it is smaller than the sum of its proper divisors (877940880).

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

389478000 is a wasteful number, since it uses less digits than its factorization.

389478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 389478000 is about 19735.1969840688. The cubic root of 389478000 is about 730.2882454613.

The spelling of 389478000 in words is "three hundred eighty-nine million, four hundred seventy-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 139 150 200 240 250 278 300 375 400 417 467 500 556 600 695 750 834 934 1000 1112 1200 1390 1401 1500 1668 1868 2000 2085 2224 2335 2780 2802 3000 3336 3475 3736 4170 4670 5560 5604 6000 6672 6950 7005 7472 8340 9340 10425 11120 11208 11675 13900 14010 16680 17375 18680 20850 22416 23350 27800 28020 33360 34750 35025 37360 41700 46700 52125 55600 56040 58375 64913 69500 70050 83400 93400 104250 112080 116750 129826 139000 140100 166800 175125 186800 194739 208500 233500 259652 278000 280200 324565 350250 389478 417000 467000 519304 560400 649130 700500 778956 834000 934000 973695 1038608 1298260 1401000 1557912 1622825 1947390 2596520 2802000 3115824 3245650 3894780 4868475 5193040 6491300 7789560 8114125 9736950 12982600 15579120 16228250 19473900 24342375 25965200 32456500 38947800 48684750 64913000 77895600 97369500 129826000 194739000 389478000