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2082288 = 243134771
BaseRepresentation
bin111111100010111110000
310220210100210
413330113300
51013113123
6112344120
723461545
oct7742760
93823323
102082288
1111a24aa
12845040
1357ba30
143c2bcc
152b1e93
hex1fc5f0

2082288 has 80 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 618240.

The previous prime is 2082281. The next prime is 2082341. The reversal of 2082288 is 8822802.

2082288 is a modest number, since divided by 2288 gives 208 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29293 + ... + 29363.

22082288 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 2082288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2082288 is an abundant number, since it is smaller than the sum of its proper divisors (3917328).

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

2082288 is a wasteful number, since it uses less digits than its factorization.

2082288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2082288 is about 1443.0135134502. The cubic root of 2082288 is about 127.6968738574.

It can be divided in two parts, 20822 and 88, that added together give a triangular number (20910 = T204).

The spelling of 2082288 in words is "two million, eighty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 71 78 94 104 141 142 156 188 208 213 282 284 312 376 426 564 568 611 624 752 852 923 1128 1136 1222 1704 1833 1846 2256 2444 2769 3337 3408 3666 3692 4888 5538 6674 7332 7384 9776 10011 11076 13348 14664 14768 20022 22152 26696 29328 40044 43381 44304 53392 80088 86762 130143 160176 173524 260286 347048 520572 694096 1041144 2082288