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7681608 = 2333115361
BaseRepresentation
bin11101010011011001001000
3112110021012000
4131103121020
53431302413
6432351000
7122202234
oct35233110
915407160
107681608
114377340
1226a5460
13178c53c
14103d5c4
15a1b073
hex753648

7681608 has 128 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 2246400.

The previous prime is 7681591. The next prime is 7681613. The reversal of 7681608 is 8061867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125898 + ... + 125958.

It is an arithmetic number, because the mean of its divisors is an integer number (188325).

Almost surely, 27681608 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 7681608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

7681608 is an abundant number, since it is smaller than the sum of its proper divisors (16423992).

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

7681608 is a wasteful number, since it uses less digits than its factorization.

7681608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7681608 is about 2771.5713954362. The cubic root of 7681608 is about 197.3107346696.

The spelling of 7681608 in words is "seven million, six hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 61 66 72 88 99 106 108 122 132 159 183 198 212 216 244 264 297 318 366 396 424 477 488 549 583 594 636 671 732 792 954 1098 1166 1188 1272 1342 1431 1464 1647 1749 1908 2013 2196 2332 2376 2684 2862 3233 3294 3498 3816 4026 4392 4664 5247 5368 5724 6039 6466 6588 6996 8052 9699 10494 11448 12078 12932 13176 13992 15741 16104 18117 19398 20988 24156 25864 29097 31482 35563 36234 38796 41976 48312 58194 62964 71126 72468 77592 87291 106689 116388 125928 142252 144936 174582 213378 232776 284504 320067 349164 426756 640134 698328 853512 960201 1280268 1920402 2560536 3840804 7681608