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14447472 = 243133137
BaseRepresentation
bin110111000111…
…001101110000
31000012000012120
4313013031300
512144304342
61233354240
7233541624
oct67071560
930160176
1014447472
118178666
124a08980
132cbb000
141cc1184
151405aec
hexdc7370

14447472 has 80 divisors (see below), whose sum is σ = 40726560. Its totient is φ = 4412928.

The previous prime is 14447449. The next prime is 14447491. The reversal of 14447472 is 27474441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105388 + ... + 105524.

It is an arithmetic number, because the mean of its divisors is an integer number (509082).

Almost surely, 214447472 is an apocalyptic number.

14447472 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 14447472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20363280).

14447472 is an abundant number, since it is smaller than the sum of its proper divisors (26279088).

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

14447472 is a wasteful number, since it uses less digits than its factorization.

14447472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its digits is 25088, while the sum is 33.

The square root of 14447472 is about 3800.9830307435. The cubic root of 14447472 is about 243.5551331434. Note that the first 3 decimals are identical.

The spelling of 14447472 in words is "fourteen million, four hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 137 156 169 208 274 312 338 411 507 548 624 676 822 1014 1096 1352 1644 1781 2028 2192 2197 2704 3288 3562 4056 4394 5343 6576 6591 7124 8112 8788 10686 13182 14248 17576 21372 23153 26364 28496 35152 42744 46306 52728 69459 85488 92612 105456 138918 185224 277836 300989 370448 555672 601978 902967 1111344 1203956 1805934 2407912 3611868 4815824 7223736 14447472