Search a number
-
+
2007852 = 2237114153
BaseRepresentation
bin111101010001100101100
310210000020220
413222030230
51003222402
6111011340
723031540
oct7521454
93700226
102007852
111151590
12809b50
13553ba2
143a3a20
15299dbc
hex1ea32c

2007852 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 499200.

The previous prime is 2007851. The next prime is 2007869. The reversal of 2007852 is 2587002.

It is not an unprimeable number, because it can be changed into a prime (2007851) 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 31 ways as a sum of consecutive naturals, for example, 37858 + ... + 37910.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

22007852 is an apocalyptic number.

2007852 is a gapful number since it is divisible by the number (22) 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 2007852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2007852 is an abundant number, since it is smaller than the sum of its proper divisors (4088532).

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

2007852 is a wasteful number, since it uses less digits than its factorization.

2007852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2007852 is about 1416.9869441883. The cubic root of 2007852 is about 126.1567713518.

The spelling of 2007852 in words is "two million, seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 53 66 77 82 84 106 123 132 154 159 164 212 231 246 287 308 318 371 451 462 492 574 583 636 742 861 902 924 1113 1148 1166 1353 1484 1722 1749 1804 2173 2226 2332 2706 3157 3444 3498 4081 4346 4452 5412 6314 6519 6996 8162 8692 9471 12243 12628 13038 15211 16324 18942 23903 24486 26076 30422 37884 45633 47806 48972 60844 71709 91266 95612 143418 167321 182532 286836 334642 501963 669284 1003926 2007852