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13162848 = 253314423
BaseRepresentation
bin110010001101…
…100101100000
3220202202000220
4302031211200
511332202343
61150043040
7216611436
oct62154540
926682026
1013162848
117480496
1244a9480
13295b38a
141a68d56
151250183
hexc8d960

13162848 has 48 divisors (see below), whose sum is σ = 35675136. Its totient is φ = 4245120.

The previous prime is 13162783. The next prime is 13162871. The reversal of 13162848 is 84826131.

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

It is a super-2 number, since 2×131628482 = 346521134942208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (743232).

Almost surely, 213162848 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 13162848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837568).

13162848 is an abundant number, since it is smaller than the sum of its proper divisors (22512288).

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

13162848 is a wasteful number, since it uses less digits than its factorization.

13162848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4459 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 13162848 is about 3628.0639465147. The cubic root of 13162848 is about 236.1112182863. Note that the first 3 decimals are identical.

Adding to 13162848 its reverse (84826131), we get a palindrome (97988979).

The spelling of 13162848 in words is "thirteen million, one hundred sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4423 8846 13269 17692 26538 35384 53076 70768 106152 137113 141536 212304 274226 411339 424608 548452 822678 1096904 1645356 2193808 3290712 4387616 6581424 13162848