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3782250 = 23253412
BaseRepresentation
bin1110011011011001101010
321010011021100
432123121222
51432013000
6213022230
744101653
oct16333152
97104240
103782250
11215372a
121324976
13a25724
1470652a
154eaa00
hex39b66a

3782250 has 72 divisors (see below), whose sum is σ = 10482732. Its totient is φ = 984000.

The previous prime is 3782249. The next prime is 3782257. The reversal of 3782250 is 522873.

It can be written as a sum of positive squares in 6 ways, for example, as 531441 + 3250809 = 729^2 + 1803^2 .

It is not an unprimeable number, because it can be changed into a prime (3782257) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 92230 + ... + 92270.

Almost surely, 23782250 is an apocalyptic number.

3782250 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 3782250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241366).

3782250 is an abundant number, since it is smaller than the sum of its proper divisors (6700482).

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

3782250 is a wasteful number, since it uses less digits than its factorization.

3782250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 51 counting only the distinct ones).

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

The square root of 3782250 is about 1944.8007610036. The cubic root of 3782250 is about 155.8057246281.

It can be divided in two parts, 378 and 2250, that added together give a triangular number (2628 = T72).

The spelling of 3782250 in words is "three million, seven hundred eighty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 125 150 205 225 246 250 369 375 410 450 615 738 750 1025 1125 1230 1681 1845 2050 2250 3075 3362 3690 5043 5125 6150 8405 9225 10086 10250 15129 15375 16810 18450 25215 30258 30750 42025 46125 50430 75645 84050 92250 126075 151290 210125 252150 378225 420250 630375 756450 1260750 1891125 3782250