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2852192 = 257217107
BaseRepresentation
bin1010111000010101100000
312100220110202
422320111200
51212232232
6141044332
733146300
oct12702540
95326422
102852192
111678992
12b566a8
1378b2b5
14543600
153b5162
hex2b8560

2852192 has 72 divisors (see below), whose sum is σ = 6980904. Its totient is φ = 1139712.

The previous prime is 2852191. The next prime is 2852197. The reversal of 2852192 is 2912582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26603 + ... + 26709.

It is an arithmetic number, because the mean of its divisors is an integer number (96957).

22852192 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 2852192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490452).

2852192 is an abundant number, since it is smaller than the sum of its proper divisors (4128712).

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

2852192 is a wasteful number, since it uses less digits than its factorization.

2852192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 2852192 is about 1688.8433912000. The cubic root of 2852192 is about 141.8163333292.

The spelling of 2852192 in words is "two million, eight hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 107 112 119 136 196 214 224 238 272 392 428 476 544 749 784 833 856 952 1498 1568 1666 1712 1819 1904 2996 3332 3424 3638 3808 5243 5992 6664 7276 10486 11984 12733 13328 14552 20972 23968 25466 26656 29104 41944 50932 58208 83888 89131 101864 167776 178262 203728 356524 407456 713048 1426096 2852192