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2068248 = 233713947
BaseRepresentation
bin111111000111100011000
310220002002210
413320330120
51012140443
6112155120
723402610
oct7707430
93802083
102068248
1111929a6
12838aa0
13575520
143bba40
152acc33
hex1f8f18

2068248 has 64 divisors (see below), whose sum is σ = 6370560. Its totient is φ = 544896.

The previous prime is 2068211. The next prime is 2068249. The reversal of 2068248 is 8428602.

It is a happy number.

2068248 is nontrivially palindromic in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711 + ... + 2657.

It is an arithmetic number, because the mean of its divisors is an integer number (99540).

22068248 is an apocalyptic number.

2068248 is a gapful number since it is divisible by the number (28) 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 2068248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185280).

2068248 is an abundant number, since it is smaller than the sum of its proper divisors (4302312).

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

2068248 is a wasteful number, since it uses less digits than its factorization.

2068248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2068248 is about 1438.1404660185. The cubic root of 2068248 is about 127.4092241209.

The spelling of 2068248 in words is "two million, sixty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 947 1092 1894 2184 2841 3788 5682 6629 7576 11364 12311 13258 19887 22728 24622 26516 36933 39774 49244 53032 73866 79548 86177 98488 147732 159096 172354 258531 295464 344708 517062 689416 1034124 2068248