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14933664 = 253251853
BaseRepresentation
bin111000111101…
…111010100000
31001002201010200
4320331322200
512310334124
61252025200
7240635244
oct70757240
931081120
1014933664
11847a979
125002200
13312b3b5
141daa424
15149ebc9
hexe3dea0

14933664 has 36 divisors (see below), whose sum is σ = 42468426. Its totient is φ = 4977792.

The previous prime is 14933663. The next prime is 14933671. The reversal of 14933664 is 46633941.

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 6290064 = 2940^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14933663) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 25639 + ... + 26214.

Almost surely, 214933664 is an apocalyptic number.

It is an amenable number.

14933664 is an abundant number, since it is smaller than the sum of its proper divisors (27534762).

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

14933664 is a wasteful number, since it uses less digits than its factorization.

14933664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51869 (or 51858 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 14933664 is about 3864.4099161450. The cubic root of 14933664 is about 246.2571176449.

The spelling of 14933664 in words is "fourteen million, nine hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 51853 103706 155559 207412 311118 414824 466677 622236 829648 933354 1244472 1659296 1866708 2488944 3733416 4977888 7466832 14933664