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3785250 = 235372103
BaseRepresentation
bin1110011100001000100010
321010022101110
432130020202
51432112000
6213044150
744113500
oct16341042
97108343
103785250
112155a07
121326656
13a26bc1
14707670
154eb850
hex39c222

3785250 has 96 divisors (see below), whose sum is σ = 11097216. Its totient is φ = 856800.

The previous prime is 3785227. The next prime is 3785251. The reversal of 3785250 is 525873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36699 + ... + 36801.

It is an arithmetic number, because the mean of its divisors is an integer number (115596).

Almost surely, 23785250 is an apocalyptic number.

3785250 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 3785250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548608).

3785250 is an abundant number, since it is smaller than the sum of its proper divisors (7311966).

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

3785250 is a wasteful number, since it uses less digits than its factorization.

3785250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3785250 is about 1945.5718953562. The cubic root of 3785250 is about 155.8469076670.

The spelling of 3785250 in words is "three million, seven hundred eighty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 103 105 125 147 150 175 206 210 245 250 294 309 350 375 490 515 525 618 721 735 750 875 1030 1050 1225 1442 1470 1545 1750 2163 2450 2575 2625 3090 3605 3675 4326 5047 5150 5250 6125 7210 7350 7725 10094 10815 12250 12875 15141 15450 18025 18375 21630 25235 25750 30282 36050 36750 38625 50470 54075 75705 77250 90125 108150 126175 151410 180250 252350 270375 378525 540750 630875 757050 1261750 1892625 3785250