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2688608 = 251323281
BaseRepresentation
bin1010010000011001100000
312001121002002
422100121200
51142013413
6133343132
731565336
oct12203140
95047062
102688608
111576a9a
12a97aa8
137319c0
144ddb56
15381958
hex290660

2688608 has 48 divisors (see below), whose sum is σ = 5969376. Its totient is φ = 1182720.

The previous prime is 2688563. The next prime is 2688611. The reversal of 2688608 is 8068862.

It is a super-2 number, since 2×26886082 = 14457225955328, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9428 + ... + 9708.

It is an arithmetic number, because the mean of its divisors is an integer number (124362).

22688608 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 2688608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984688).

2688608 is an abundant number, since it is smaller than the sum of its proper divisors (3280768).

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

2688608 is a wasteful number, since it uses less digits than its factorization.

2688608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 2688608 is about 1639.6975330835. The cubic root of 2688608 is about 139.0515482601.

The spelling of 2688608 in words is "two million, six hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 281 299 368 416 562 598 736 1124 1196 2248 2392 3653 4496 4784 6463 7306 8992 9568 12926 14612 25852 29224 51704 58448 84019 103408 116896 168038 206816 336076 672152 1344304 2688608