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12490688 = 2673569
BaseRepresentation
bin101111101001…
…011111000000
3212111121000002
4233221133000
511144200223
61123415132
7211112000
oct57513700
925447002
1012490688
117061491
1242244a8
132784452
141932000
15116ae28
hexbe97c0

12490688 has 56 divisors (see below), whose sum is σ = 28956000. Its totient is φ = 5343744.

The previous prime is 12490663. The next prime is 12490711. The reversal of 12490688 is 88609421.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21668 + ... + 22236.

Almost surely, 212490688 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 12490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478000).

12490688 is an abundant number, since it is smaller than the sum of its proper divisors (16465312).

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

12490688 is an frugal number, since it uses more digits than its factorization.

12490688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 12490688 is about 3534.2167449097. The cubic root of 12490688 is about 232.0217973971.

The spelling of 12490688 in words is "twelve million, four hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 569 686 784 1138 1372 1568 2276 2744 3136 3983 4552 5488 7966 9104 10976 15932 18208 21952 27881 31864 36416 55762 63728 111524 127456 195167 223048 254912 390334 446096 780668 892192 1561336 1784384 3122672 6245344 12490688