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3795000 = 233541123
BaseRepresentation
bin1110011110100000111000
321010210202120
432132200320
51432420000
6213201240
744154066
oct16364070
97123676
103795000
112162270
121330220
13a2b481
1470b036
154ee6a0
hex39e838

3795000 has 160 divisors (see below), whose sum is σ = 13495680. Its totient is φ = 880000.

The previous prime is 3794983. The next prime is 3795007. The reversal of 3795000 is 5973.

3795000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164989 + ... + 165011.

It is an arithmetic number, because the mean of its divisors is an integer number (84348).

Almost surely, 23795000 is an apocalyptic number.

3795000 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 3795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747840).

3795000 is an abundant number, since it is smaller than the sum of its proper divisors (9700680).

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

3795000 is a wasteful number, since it uses less digits than its factorization.

3795000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 3795000 is about 1948.0759738778. The cubic root of 3795000 is about 155.9806024534.

The spelling of 3795000 in words is "three million, seven hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 25 30 33 40 44 46 50 55 60 66 69 75 88 92 100 110 115 120 125 132 138 150 165 184 200 220 230 250 253 264 275 276 300 330 345 375 440 460 500 506 550 552 575 600 625 660 690 750 759 825 920 1000 1012 1100 1150 1250 1265 1320 1375 1380 1500 1518 1650 1725 1875 2024 2200 2300 2500 2530 2750 2760 2875 3000 3036 3300 3450 3750 3795 4125 4600 5000 5060 5500 5750 6072 6325 6600 6875 6900 7500 7590 8250 8625 10120 11000 11500 12650 13750 13800 14375 15000 15180 16500 17250 18975 20625 23000 25300 27500 28750 30360 31625 33000 34500 37950 41250 43125 50600 55000 57500 63250 69000 75900 82500 86250 94875 115000 126500 151800 158125 165000 172500 189750 253000 316250 345000 379500 474375 632500 759000 948750 1265000 1897500 3795000