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14808096 = 253429197
BaseRepresentation
bin111000011111…
…010000100000
31000212022220000
4320133100200
512242324341
61245220000
7236603202
oct70372040
930768800
1014808096
1183a45a6
124b61600
1330b61b4
141d76772
1514778b6
hexe1f420

14808096 has 120 divisors (see below), whose sum is σ = 45280620. Its totient is φ = 4741632.

The previous prime is 14808089. The next prime is 14808097. The reversal of 14808096 is 69080841.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 1587600 = 3636^2 + 1260^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 14808096.

It is not an unprimeable number, because it can be changed into a prime (14808097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75070 + ... + 75266.

Almost surely, 214808096 is an apocalyptic number.

14808096 is a gapful number since it is divisible by the number (16) 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 14808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22640310).

14808096 is an abundant number, since it is smaller than the sum of its proper divisors (30472524).

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

14808096 is a wasteful number, since it uses less digits than its factorization.

14808096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14808096 is about 3848.1288959701. The cubic root of 14808096 is about 245.5649658070.

The spelling of 14808096 in words is "fourteen million, eight hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 197 216 232 261 288 324 348 394 432 464 522 591 648 696 783 788 864 928 1044 1182 1296 1392 1566 1576 1773 2088 2349 2364 2592 2784 3132 3152 3546 4176 4698 4728 5319 5713 6264 6304 7092 8352 9396 9456 10638 11426 12528 14184 15957 17139 18792 18912 21276 22852 25056 28368 31914 34278 37584 42552 45704 51417 56736 63828 68556 75168 85104 91408 102834 127656 137112 154251 170208 182816 205668 255312 274224 308502 411336 462753 510624 548448 617004 822672 925506 1234008 1645344 1851012 2468016 3702024 4936032 7404048 14808096