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2689808 = 2411172931
BaseRepresentation
bin1010010000101100010000
312001122201112
422100230100
51142033213
6133352452
731602002
oct12205420
95048645
102689808
111577990
12a98728
13732404
14500372
15381ea8
hex290b10

2689808 has 80 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 1075200.

The previous prime is 2689807. The next prime is 2689861. The reversal of 2689808 is 8089862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689807) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 86753 + ... + 86783.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

22689808 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 2689808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2689808 is an abundant number, since it is smaller than the sum of its proper divisors (3738352).

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

2689808 is a wasteful number, since it uses less digits than its factorization.

2689808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2689808 is about 1640.0634134082. The cubic root of 2689808 is about 139.0722326984.

It can be divided in two parts, 2689 and 808, that multiplied together give a palindrome (2172712).

The spelling of 2689808 in words is "two million, six hundred eighty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 17 22 29 31 34 44 58 62 68 88 116 124 136 176 187 232 248 272 319 341 374 464 493 496 527 638 682 748 899 986 1054 1276 1364 1496 1798 1972 2108 2552 2728 2992 3596 3944 4216 5104 5423 5456 5797 7192 7888 8432 9889 10846 11594 14384 15283 19778 21692 23188 30566 39556 43384 46376 61132 79112 86768 92752 122264 158224 168113 244528 336226 672452 1344904 2689808