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2382688 = 25711967
BaseRepresentation
bin1001000101101101100000
311111001102201
421011231200
51102221223
6123022544
726152420
oct11055540
94431381
102382688
111388170
1296aa54
13655699
14460480
15320ead
hex245b60

2382688 has 48 divisors (see below), whose sum is σ = 5854464. Its totient is φ = 927360.

The previous prime is 2382671. The next prime is 2382697. The reversal of 2382688 is 8862832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1981 + ... + 2947.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

22382688 is an apocalyptic number.

2382688 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 2382688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927232).

2382688 is an abundant number, since it is smaller than the sum of its proper divisors (3471776).

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

2382688 is a wasteful number, since it uses less digits than its factorization.

2382688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 2382688 is about 1543.5958020155. The cubic root of 2382688 is about 133.5638899863.

It can be divided in two parts, 238 and 2688, that added together give a triangular number (2926 = T76).

The spelling of 2382688 in words is "two million, three hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 967 1232 1934 2464 3868 6769 7736 10637 13538 15472 21274 27076 30944 42548 54152 74459 85096 108304 148918 170192 216608 297836 340384 595672 1191344 2382688