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12899808 = 253247953
BaseRepresentation
bin110001001101…
…010111100000
3220021101012200
4301031113200
511300243213
61140253200
7214434525
oct61152740
926241180
1012899808
1173108a9
1243a1200
13289872c
1419db14c
1511ec273
hexc4d5e0

12899808 has 72 divisors (see below), whose sum is σ = 37503648. Its totient is φ = 4204032.

The previous prime is 12899807. The next prime is 12899827. The reversal of 12899808 is 80899821.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12899801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13060 + ... + 14012.

It is an arithmetic number, because the mean of its divisors is an integer number (520884).

Almost surely, 212899808 is an apocalyptic number.

12899808 is a gapful number since it is divisible by the number (18) 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 12899808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18751824).

12899808 is an abundant number, since it is smaller than the sum of its proper divisors (24603840).

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

12899808 is a wasteful number, since it uses less digits than its factorization.

12899808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 12899808 is about 3591.6302705039. The cubic root of 12899808 is about 234.5278463271.

The spelling of 12899808 in words is "twelve million, eight hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 953 1128 1504 1692 1906 2256 2859 3384 3812 4512 5718 6768 7624 8577 11436 13536 15248 17154 22872 30496 34308 44791 45744 68616 89582 91488 134373 137232 179164 268746 274464 358328 403119 537492 716656 806238 1074984 1433312 1612476 2149968 3224952 4299936 6449904 12899808