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2826252 = 2234111361
BaseRepresentation
bin1010110010000000001100
312022120220000
422302000030
51210420002
6140324300
733010542
oct12620014
95276800
102826252
111660450
12b43690
1377c550
14537d92
153ac61c
hex2b200c

2826252 has 120 divisors (see below), whose sum is σ = 8822352. Its totient is φ = 777600.

The previous prime is 2826211. The next prime is 2826281. The reversal of 2826252 is 2526282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 46302 + ... + 46362.

22826252 is an apocalyptic number.

2826252 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 2826252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411176).

2826252 is an abundant number, since it is smaller than the sum of its proper divisors (5996100).

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

2826252 is a wasteful number, since it uses less digits than its factorization.

2826252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2826252 is about 1681.1460376779. The cubic root of 2826252 is about 141.3850948613.

The spelling of 2826252 in words is "two million, eight hundred twenty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 61 66 78 81 99 108 117 122 132 143 156 162 183 198 234 244 286 297 324 351 366 396 429 468 549 572 594 671 702 732 793 858 891 1053 1098 1188 1287 1342 1404 1586 1647 1716 1782 2013 2106 2196 2379 2574 2684 3172 3294 3564 3861 4026 4212 4758 4941 5148 6039 6588 7137 7722 8052 8723 9516 9882 11583 12078 14274 15444 17446 18117 19764 21411 23166 24156 26169 28548 34892 36234 42822 46332 52338 54351 64233 72468 78507 85644 104676 108702 128466 157014 217404 235521 256932 314028 471042 706563 942084 1413126 2826252