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2852352 = 2932619
BaseRepresentation
bin1010111000011000000000
312100220200200
422320120000
51212233402
6141045200
733146616
oct12703000
95326620
102852352
111679018
12b56800
1378b3a9
145436b6
153b521c
hex2b8600

2852352 has 60 divisors (see below), whose sum is σ = 8245380. Its totient is φ = 949248.

The previous prime is 2852351. The next prime is 2852371. The reversal of 2852352 is 2532582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4299 + ... + 4917.

It is an arithmetic number, because the mean of its divisors is an integer number (137423).

22852352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122690).

2852352 is an abundant number, since it is smaller than the sum of its proper divisors (5393028).

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

2852352 is an equidigital number, since it uses as much as digits as its factorization.

2852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 624 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2852352 is about 1688.8907602329. The cubic root of 2852352 is about 141.8189851129.

The spelling of 2852352 in words is "two million, eight hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 619 768 1152 1238 1536 1857 2304 2476 3714 4608 4952 5571 7428 9904 11142 14856 19808 22284 29712 39616 44568 59424 79232 89136 118848 158464 178272 237696 316928 356544 475392 713088 950784 1426176 2852352