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395253000 = 23335314639
BaseRepresentation
bin10111100011110…
…001010100001000
31000112201221012000
4113203301110020
51302141044000
6103115351000
712536411052
oct2743612410
91015657160
10395253000
1119312347a
12b0452460
1363b6ba1c
143a6ca8d2
1524a77000
hex178f1508

395253000 has 128 divisors (see below), whose sum is σ = 1370304000. Its totient is φ = 105393600.

The previous prime is 395252987. The next prime is 395253031. The reversal of 395253000 is 352593.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19681 + ... + 34319.

It is an arithmetic number, because the mean of its divisors is an integer number (10705500).

Almost surely, 2395253000 is an apocalyptic number.

395253000 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 395253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685152000).

395253000 is an abundant number, since it is smaller than the sum of its proper divisors (975051000).

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

395253000 is a wasteful number, since it uses less digits than its factorization.

395253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14669 (or 14649 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 395253000 is about 19880.9708012461. The cubic root of 395253000 is about 733.8800101829.

The spelling of 395253000 in words is "three hundred ninety-five million, two hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 14639 27000 29278 43917 58556 73195 87834 117112 131751 146390 175668 219585 263502 292780 351336 365975 395253 439170 527004 585560 658755 731950 790506 878340 1054008 1097925 1317510 1463900 1581012 1756680 1829875 1976265 2195850 2635020 2927800 3162024 3293775 3659750 3952530 4391700 5270040 5489625 6587550 7319500 7905060 8783400 9881325 10979250 13175100 14639000 15810120 16468875 19762650 21958500 26350200 32937750 39525300 43917000 49406625 65875500 79050600 98813250 131751000 197626500 395253000