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14338752 = 2631723191
BaseRepresentation
bin110110101100…
…101011000000
3222222111001220
4312230223000
512132320002
61231155040
7232606641
oct66545300
928874056
1014338752
118103a0a
124975a80
132c8068c
141c936c8
1513d37bc
hexdacac0

14338752 has 112 divisors (see below), whose sum is σ = 42135552. Its totient is φ = 4280320.

The previous prime is 14338747. The next prime is 14338783. The reversal of 14338752 is 25783341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74977 + ... + 75167.

Almost surely, 214338752 is an apocalyptic number.

14338752 is a gapful number since it is divisible by the number (12) 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 14338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776).

14338752 is an abundant number, since it is smaller than the sum of its proper divisors (27796800).

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

14338752 is a wasteful number, since it uses less digits than its factorization.

14338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 14338752 is about 3786.6544600742. The cubic root of 14338752 is about 242.9426611990.

The spelling of 14338752 in words is "fourteen million, three hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 191 192 204 272 276 368 382 391 408 544 552 573 736 764 782 816 1088 1104 1146 1173 1472 1528 1564 1632 2208 2292 2346 3056 3128 3247 3264 4393 4416 4584 4692 6112 6256 6494 8786 9168 9384 9741 12224 12512 12988 13179 17572 18336 18768 19482 25024 25976 26358 35144 36672 37536 38964 51952 52716 70288 74681 75072 77928 103904 105432 140576 149362 155856 207808 210864 224043 281152 298724 311712 421728 448086 597448 623424 843456 896172 1194896 1792344 2389792 3584688 4779584 7169376 14338752