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12553248 = 253433041
BaseRepresentation
bin101111111000…
…110000100000
3212121202211010
4233320300200
511203200443
61125020520
7211462251
oct57706040
925552733
1012553248
1170a4494
124254740
1327a6a76
14194ab28
15117e733
hexbf8c20

12553248 has 48 divisors (see below), whose sum is σ = 33729696. Its totient is φ = 4085760.

The previous prime is 12553241. The next prime is 12553271. The reversal of 12553248 is 84235521.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12553241) 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 7 ways as a sum of consecutive naturals, for example, 2608 + ... + 5648.

It is an arithmetic number, because the mean of its divisors is an integer number (702702).

Almost surely, 212553248 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 12553248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864848).

12553248 is an abundant number, since it is smaller than the sum of its proper divisors (21176448).

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

12553248 is a wasteful number, since it uses less digits than its factorization.

12553248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3089 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 12553248 is about 3543.0563077659. The cubic root of 12553248 is about 232.4085152847.

Adding to 12553248 its reverse (84235521), we get a palindrome (96788769).

The spelling of 12553248 in words is "twelve million, five hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 3041 4128 6082 9123 12164 18246 24328 36492 48656 72984 97312 130763 145968 261526 291936 392289 523052 784578 1046104 1569156 2092208 3138312 4184416 6276624 12553248