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14678944 = 257193449
BaseRepresentation
bin110111111111…
…101110100000
31000121202201121
4313333232200
512224211234
61242342024
7235524520
oct67775640
930552647
1014678944
118316565
124aba914
13306c487
141d41680
15144e4b4
hexdffba0

14678944 has 48 divisors (see below), whose sum is σ = 34776000. Its totient is φ = 5958144.

The previous prime is 14678941. The next prime is 14678947. The reversal of 14678944 is 44987641.

It is an interprime number because it is at equal distance from previous prime (14678941) and next prime (14678947).

It is a self number, because there is not a number n which added to its sum of digits gives 14678944.

It is not an unprimeable number, because it can be changed into a prime (14678941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2532 + ... + 5980.

It is an arithmetic number, because the mean of its divisors is an integer number (724500).

Almost surely, 214678944 is an apocalyptic number.

14678944 is a gapful number since it is divisible by the number (14) 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 14678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388000).

14678944 is an abundant number, since it is smaller than the sum of its proper divisors (20097056).

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

14678944 is a wasteful number, since it uses less digits than its factorization.

14678944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3477 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 14678944 is about 3831.3110027770. The cubic root of 14678944 is about 244.8489642470.

The spelling of 14678944 in words is "fourteen million, six hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 3449 4256 6898 13796 24143 27592 48286 55184 65531 96572 110368 131062 193144 262124 386288 458717 524248 772576 917434 1048496 1834868 2096992 3669736 7339472 14678944