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14950208 = 2671317151
BaseRepresentation
bin111001000001…
…111101000000
31001010112211102
4321001331000
512311401313
61252233532
7241034420
oct71017500
931115742
1014950208
118491349
12500b8a8
133135aa0
141db2480
1514a4a58
hexe41f40

14950208 has 112 divisors (see below), whose sum is σ = 38916864. Its totient is φ = 5529600.

The previous prime is 14950193. The next prime is 14950211. The reversal of 14950208 is 80205941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98933 + ... + 99083.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 214950208 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 14950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

14950208 is an abundant number, since it is smaller than the sum of its proper divisors (23966656).

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

14950208 is a wasteful number, since it uses less digits than its factorization.

14950208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 14950208 is about 3866.5498832939. The cubic root of 14950208 is about 246.3480213065.

The spelling of 14950208 in words is "fourteen million, nine hundred fifty thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 136 151 182 208 221 224 238 272 302 364 416 442 448 476 544 604 728 832 884 952 1057 1088 1208 1456 1547 1768 1904 1963 2114 2416 2567 2912 3094 3536 3808 3926 4228 4832 5134 5824 6188 7072 7616 7852 8456 9664 10268 12376 13741 14144 15704 16912 17969 20536 24752 27482 31408 33371 33824 35938 41072 49504 54964 62816 66742 67648 71876 82144 99008 109928 125632 133484 143752 164288 219856 233597 266968 287504 439712 467194 533936 575008 879424 934388 1067872 1150016 1868776 2135744 3737552 7475104 14950208