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3689088 = 27313739
BaseRepresentation
bin1110000100101010000000
320221102110220
432010222000
51421022323
6211023040
743233234
oct16045200
96842426
103689088
11209a737
12129aa80
139c21c0
146c05c4
154cd0e3
hex384a80

3689088 has 64 divisors (see below), whose sum is σ = 10567200. Its totient is φ = 1133568.

The previous prime is 3689069. The next prime is 3689113. The reversal of 3689088 is 8809863.

3689088 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

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, 4623 + ... + 5361.

Almost surely, 23689088 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 3689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283600).

3689088 is an abundant number, since it is smaller than the sum of its proper divisors (6878112).

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

3689088 is a wasteful number, since it uses less digits than its factorization.

3689088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 3689088 is about 1920.6998724423. The cubic root of 3689088 is about 154.5158392240.

The spelling of 3689088 in words is "three million, six hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 739 832 1248 1478 1664 2217 2496 2956 4434 4992 5912 8868 9607 11824 17736 19214 23648 28821 35472 38428 47296 57642 70944 76856 94592 115284 141888 153712 230568 283776 307424 461136 614848 922272 1229696 1844544 3689088