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12319488 = 28325347
BaseRepresentation
bin101110111111…
…101100000000
3212011220011100
4232333230000
511123210423
61120014400
7206466606
oct56775400
925156140
1012319488
116a548a5
124161400
13272454c
1418c9876
151135343
hexbbfb00

12319488 has 54 divisors (see below), whose sum is σ = 35526764. Its totient is φ = 4105728.

The previous prime is 12319481. The next prime is 12319511. The reversal of 12319488 is 88491321.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12319481) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 370 + ... + 4977.

Almost surely, 212319488 is an apocalyptic number.

12319488 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 12319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763382).

12319488 is an abundant number, since it is smaller than the sum of its proper divisors (23207276).

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

12319488 is an equidigital number, since it uses as much as digits as its factorization.

12319488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5352 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 12319488 is about 3509.9128194301. The cubic root of 12319488 is about 230.9568705671.

The spelling of 12319488 in words is "twelve million, three hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5347 10694 16041 21388 32082 42776 48123 64164 85552 96246 128328 171104 192492 256656 342208 384984 513312 684416 769968 1026624 1368832 1539936 2053248 3079872 4106496 6159744 12319488