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12499488 = 2533172337
BaseRepresentation
bin101111101011…
…101000100000
3212112001002000
4233223220200
511144440423
61123524000
7211146441
oct57535040
925461060
1012499488
117068061
124229600
132788461
1419352c8
15116d843
hexbeba20

12499488 has 192 divisors, whose sum is σ = 41368320. Its totient is φ = 3649536.

The previous prime is 12499481. The next prime is 12499519. The reversal of 12499488 is 88499421.

12499488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (165888) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (12499481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337806 + ... + 337842.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 212499488 is an apocalyptic number.

12499488 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 12499488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

12499488 is an abundant number, since it is smaller than the sum of its proper divisors (28868832).

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

12499488 is a wasteful number, since it uses less digits than its factorization.

12499488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12499488 is about 3535.4614974569. The cubic root of 12499488 is about 232.0762729794.

It can be divided in two parts, 12 and 499488, that added together give a triangular number (499500 = T999).

The spelling of 12499488 in words is "twelve million, four hundred ninety-nine thousand, four hundred eighty-eight".