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2802096 = 2432112961
BaseRepresentation
bin1010101100000110110000
312021100202100
422230012300
51204131341
6140020400
732550243
oct12540660
95240670
102802096
111644290
12b31700
1377155b
1452d25a
153a53b6
hex2ac1b0

2802096 has 120 divisors (see below), whose sum is σ = 8994960. Its totient is φ = 806400.

The previous prime is 2802091. The next prime is 2802097. The reversal of 2802096 is 6902082.

It is not an unprimeable number, because it can be changed into a prime (2802091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45906 + ... + 45966.

It is an arithmetic number, because the mean of its divisors is an integer number (74958).

22802096 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 2802096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497480).

2802096 is an abundant number, since it is smaller than the sum of its proper divisors (6192864).

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

2802096 is a wasteful number, since it uses less digits than its factorization.

2802096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2802096 is about 1673.9462356958. The cubic root of 2802096 is about 140.9811352459.

The spelling of 2802096 in words is "two million, eight hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 61 66 72 87 88 99 116 122 132 144 174 176 183 198 232 244 261 264 319 348 366 396 464 488 522 528 549 638 671 696 732 792 957 976 1044 1098 1276 1342 1392 1464 1584 1769 1914 2013 2088 2196 2552 2684 2871 2928 3538 3828 4026 4176 4392 5104 5307 5368 5742 6039 7076 7656 8052 8784 10614 10736 11484 12078 14152 15312 15921 16104 19459 21228 22968 24156 28304 31842 32208 38918 42456 45936 48312 58377 63684 77836 84912 96624 116754 127368 155672 175131 233508 254736 311344 350262 467016 700524 934032 1401048 2802096