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3827250 = 237537
BaseRepresentation
bin1110100110011000110010
321012110000000
432212120302
51434433000
6214010430
744350110
oct16463062
97173000
103827250
112184519
121346a16
13a4005b
14718ab0
15509000
hex3a6632

3827250 has 128 divisors (see below), whose sum is σ = 12280320. Its totient is φ = 874800.

The previous prime is 3827249. The next prime is 3827273. The reversal of 3827250 is 527283.

3827250 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 (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 546747 + ... + 546753.

It is an arithmetic number, because the mean of its divisors is an integer number (95940).

Almost surely, 23827250 is an apocalyptic number.

3827250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140160).

3827250 is an abundant number, since it is smaller than the sum of its proper divisors (8453070).

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

3827250 is an frugal number, since it uses more digits than its factorization.

3827250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3827250 is about 1956.3358607356. The cubic root of 3827250 is about 156.4211990199.

Multiplying 3827250 by its product of nonzero digits (3360), we get a square (12859560000 = 1134002).

The spelling of 3827250 in words is "three million, eight hundred twenty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 125 126 135 150 162 175 189 210 225 243 250 270 315 350 375 378 405 450 486 525 567 630 675 729 750 810 875 945 1050 1125 1134 1215 1350 1458 1575 1701 1750 1890 2025 2187 2250 2430 2625 2835 3150 3375 3402 3645 4050 4374 4725 5103 5250 5670 6075 6750 7290 7875 8505 9450 10125 10206 10935 12150 14175 15309 15750 17010 18225 20250 21870 23625 25515 28350 30375 30618 36450 42525 47250 51030 54675 60750 70875 76545 85050 91125 109350 127575 141750 153090 182250 212625 255150 273375 382725 425250 546750 637875 765450 1275750 1913625 3827250