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2852124 = 22311173141
BaseRepresentation
bin1010111000010100011100
312100220101020
422320110130
51212231444
6141044140
733146142
oct12702434
95326336
102852124
111678930
12b56650
1378b262
14543592
153b5119
hex2b851c

2852124 has 96 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 768000.

The previous prime is 2852117. The next prime is 2852149. The reversal of 2852124 is 4212582.

It is a super-2 number, since 2×28521242 = 16269222622752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2852094 and 2852103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69544 + ... + 69584.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

22852124 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 2852124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

2852124 is an abundant number, since it is smaller than the sum of its proper divisors (5276388).

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

2852124 is a wasteful number, since it uses less digits than its factorization.

2852124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 2852124 is about 1688.8232589587. The cubic root of 2852124 is about 141.8152062910.

The spelling of 2852124 in words is "two million, eight hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 41 44 51 62 66 68 82 93 102 123 124 132 164 186 187 204 246 341 372 374 451 492 527 561 682 697 748 902 1023 1054 1122 1271 1353 1364 1394 1581 1804 2046 2091 2108 2244 2542 2706 2788 3162 3813 4092 4182 5084 5412 5797 6324 7626 7667 8364 11594 13981 15252 15334 17391 21607 23001 23188 27962 30668 34782 41943 43214 46002 55924 64821 69564 83886 86428 92004 129642 167772 237677 259284 475354 713031 950708 1426062 2852124