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4428162000 = 24335382003
BaseRepresentation
bin1000001111111000…
…00110001111010000
3102102121100221022000
410013330012033100
533032102141000
62011222514000
7214506520203
oct40774061720
912377327260
104428162000
111972644719
12a36b95900
13557543502
1430016993a
151adb4d000
hex107f063d0

4428162000 has 160 divisors (see below), whose sum is σ = 15862853760. Its totient is φ = 1180828800.

The previous prime is 4428161999. The next prime is 4428162001. The reversal of 4428162000 is 2618244.

4428162000 is a `hidden beast` number, since 442 + 8 + 16 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4428161999) and next prime (4428162001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428162001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12999 + ... + 95001.

It is an arithmetic number, because the mean of its divisors is an integer number (99142836).

Almost surely, 24428162000 is an apocalyptic number.

4428162000 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 4428162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931426880).

4428162000 is an abundant number, since it is smaller than the sum of its proper divisors (11434691760).

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

4428162000 is a wasteful number, since it uses less digits than its factorization.

4428162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82035 (or 82013 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4428162000 is about 66544.4362813301. The cubic root of 4428162000 is about 1642.1311279405.

The spelling of 4428162000 in words is "four billion, four hundred twenty-eight million, one hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 82003 164006 246009 328012 410015 492018 656024 738027 820030 984036 1230045 1312048 1476054 1640060 1968072 2050075 2214081 2460090 2952108 3280120 3690135 3936144 4100150 4428162 4920180 5904216 6150225 6560240 7380270 8200300 8856324 9840360 10250375 11070405 11808432 12300450 14760540 16400600 17712648 18450675 19680720 20500750 22140810 24600900 29521080 30751125 32801200 35425296 36901350 41001500 44281620 49201800 55352025 59042160 61502250 73802700 82003000 88563240 92253375 98403600 110704050 123004500 147605400 164006000 177126480 184506750 221408100 246009000 276760125 295210800 369013500 442816200 492018000 553520250 738027000 885632400 1107040500 1476054000 2214081000 4428162000