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13848968 = 2375103
BaseRepresentation
bin110100110101…
…000110001000
3222001121012202
4310311012020
512021131333
61212455332
7225500000
oct64650610
928047182
1013848968
1178a9a31
12477a548
132b3b773
141ba7000
1513385e8
hexd35188

13848968 has 48 divisors (see below), whose sum is σ = 30588480. Its totient is φ = 5877648.

The previous prime is 13848949. The next prime is 13848977. The reversal of 13848968 is 86984831.

Its product of digits (331776) is a multiple of the sum of its prime factors (144).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134405 + ... + 134507.

It is an arithmetic number, because the mean of its divisors is an integer number (637260).

Almost surely, 213848968 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 13848968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294240).

13848968 is an abundant number, since it is smaller than the sum of its proper divisors (16739512).

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

13848968 is an frugal number, since it uses more digits than its factorization.

13848968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The square root of 13848968 is about 3721.4201590253. The cubic root of 13848968 is about 240.1444038380.

The spelling of 13848968 in words is "thirteen million, eight hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 343 392 412 686 721 824 1372 1442 2401 2744 2884 4802 5047 5768 9604 10094 16807 19208 20188 33614 35329 40376 67228 70658 134456 141316 247303 282632 494606 989212 1731121 1978424 3462242 6924484 13848968