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2852532 = 2232175979
BaseRepresentation
bin1010111000011010110100
312100220221100
422320122310
51212240112
6141050100
733150264
oct12703264
95326840
102852532
111679171
12b56930
1378b4b7
145437a4
153b52dc
hex2b86b4

2852532 has 72 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 868608.

The previous prime is 2852519. The next prime is 2852569. The reversal of 2852532 is 2352582.

2852532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28525322 = 16273877622048, which contains 22 as substring.

Its product of digits (4800) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 2852496 and 2852505.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36069 + ... + 36147.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

22852532 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 2852532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2852532 is an abundant number, since it is smaller than the sum of its proper divisors (5009868).

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

2852532 is a wasteful number, since it uses less digits than its factorization.

2852532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

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

The square root of 2852532 is about 1688.9440488068. The cubic root of 2852532 is about 141.8219682511.

The spelling of 2852532 in words is "two million, eight hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 79 102 118 153 158 177 204 236 237 306 316 354 474 531 612 708 711 948 1003 1062 1343 1422 2006 2124 2686 2844 3009 4012 4029 4661 5372 6018 8058 9027 9322 12036 12087 13983 16116 18054 18644 24174 27966 36108 41949 48348 55932 79237 83898 158474 167796 237711 316948 475422 713133 950844 1426266 2852532