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14267808 = 2532107463
BaseRepresentation
bin110110011011…
…010110100000
3222211212202100
4312123112200
512123032213
61225450400
7232163052
oct66332640
928755670
1014267808
118065685
124940a00
132c572b9
141c758d2
1513bc773
hexd9b5a0

14267808 has 72 divisors (see below), whose sum is σ = 41041728. Its totient is φ = 4701312.

The previous prime is 14267801. The next prime is 14267809. The reversal of 14267808 is 80876241.

14267808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14267801) 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, 30585 + ... + 31047.

It is an arithmetic number, because the mean of its divisors is an integer number (570024).

Almost surely, 214267808 is an apocalyptic number.

14267808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14267808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520864).

14267808 is an abundant number, since it is smaller than the sum of its proper divisors (26773920).

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

14267808 is a wasteful number, since it uses less digits than its factorization.

14267808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14267808 is about 3777.2752084009. The cubic root of 14267808 is about 242.5413285568.

The spelling of 14267808 in words is "fourteen million, two hundred sixty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 463 642 856 926 963 1284 1389 1712 1852 1926 2568 2778 3424 3704 3852 4167 5136 5556 7408 7704 8334 10272 11112 14816 15408 16668 22224 30816 33336 44448 49541 66672 99082 133344 148623 198164 297246 396328 445869 594492 792656 891738 1188984 1585312 1783476 2377968 3566952 4755936 7133904 14267808