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4668384 = 25376947
BaseRepresentation
bin10001110011101111100000
322210011211010
4101303233200
52143342014
6244020520
754452310
oct21635740
98704733
104668384
1126a9476
121691740
13c75b76
14897440
15623359
hex473be0

4668384 has 48 divisors (see below), whose sum is σ = 14007168. Its totient is φ = 1333632.

The previous prime is 4668373. The next prime is 4668397. The reversal of 4668384 is 4838664.

4668384 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

4668384 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2802 + ... + 4145.

It is an arithmetic number, because the mean of its divisors is an integer number (291816).

Almost surely, 24668384 is an apocalyptic number.

It is an amenable number.

4668384 is an abundant number, since it is smaller than the sum of its proper divisors (9338784).

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

4668384 is a wasteful number, since it uses less digits than its factorization.

4668384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967 (or 6959 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 4668384 is about 2160.6443483369. The cubic root of 4668384 is about 167.1304274697.

The spelling of 4668384 in words is "four million, six hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6947 13894 20841 27788 41682 48629 55576 83364 97258 111152 145887 166728 194516 222304 291774 333456 389032 583548 666912 778064 1167096 1556128 2334192 4668384