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12489424 = 241723773
BaseRepresentation
bin101111101001…
…001011010000
3212111112021021
4233221023100
511144130144
61123405224
7211105213
oct57511320
925445237
1012489424
117060542
124223814
1327839bc
14193177a
15116a884
hexbe92d0

12489424 has 60 divisors (see below), whose sum is σ = 26761804. Its totient is φ = 5640192.

The previous prime is 12489371. The next prime is 12489427. The reversal of 12489424 is 42498421.

12489424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3489424 + 9000000 = 1868^2 + 3000^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 12489424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12489427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171052 + ... + 171124.

Almost surely, 212489424 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 12489424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380902).

12489424 is an abundant number, since it is smaller than the sum of its proper divisors (14272380).

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

12489424 is a wasteful number, since it uses less digits than its factorization.

12489424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 12489424 is about 3534.0379171707. The cubic root of 12489424 is about 232.0139706212.

The spelling of 12489424 in words is "twelve million, four hundred eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 37 68 73 74 136 146 148 272 289 292 296 578 584 592 629 1156 1168 1241 1258 2312 2482 2516 2701 4624 4964 5032 5402 9928 10064 10693 10804 19856 21097 21386 21608 42194 42772 43216 45917 84388 85544 91834 168776 171088 183668 337552 367336 734672 780589 1561178 3122356 6244712 12489424