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4538368 = 214277
BaseRepresentation
bin10001010100000000000000
322112120110201
4101110000000
52130211433
6241134544
753401252
oct21240000
98476421
104538368
11261a81a
12162a454
13c2b933
14861cd2
155e9a7d
hex454000

4538368 has 30 divisors (see below), whose sum is σ = 9109226. Its totient is φ = 2260992.

The previous prime is 4538333. The next prime is 4538407. The reversal of 4538368 is 8638354.

It can be written as a sum of positive squares in only one way, i.e., 3211264 + 1327104 = 1792^2 + 1152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16246 + ... + 16522.

Almost surely, 24538368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554613).

4538368 is an abundant number, since it is smaller than the sum of its proper divisors (4570858).

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

4538368 is an frugal number, since it uses more digits than its factorization.

4538368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 4538368 is about 2130.3445730679. The cubic root of 4538368 is about 165.5642512703.

It can be divided in two parts, 45383 and 68, that added together give a triangular number (45451 = T301).

The spelling of 4538368 in words is "four million, five hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 277 512 554 1024 1108 2048 2216 4096 4432 8192 8864 16384 17728 35456 70912 141824 283648 567296 1134592 2269184 4538368