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13147552 = 251141911
BaseRepresentation
bin110010001001…
…110110100000
3220201222001101
4302021312200
511331210202
61145444144
7216516025
oct62116640
926658041
1013147552
11746aa50
1244a0654
132954422
141a6354c
15124a887
hexc89da0

13147552 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 5824000.

The previous prime is 13147531. The next prime is 13147571. The reversal of 13147552 is 25574131.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13147552.

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, 13977 + ... + 14887.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 213147552 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 13147552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

13147552 is an abundant number, since it is smaller than the sum of its proper divisors (15810272).

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

13147552 is a wasteful number, since it uses less digits than its factorization.

13147552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 965 counting only the distinct ones).

The product of its digits is 4200, while the sum is 28.

The square root of 13147552 is about 3625.9553223944. The cubic root of 13147552 is about 236.0197244838.

The spelling of 13147552 in words is "thirteen million, one hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 911 1312 1804 1822 3608 3644 7216 7288 10021 14432 14576 20042 29152 37351 40084 74702 80168 149404 160336 298808 320672 410861 597616 821722 1195232 1643444 3286888 6573776 13147552