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4540384 = 252331199
BaseRepresentation
bin10001010100011111100000
322112200020101
4101110133200
52130243014
6241152144
753410162
oct21243740
98480211
104540384
112621292
12162b654
13c2c824
14862932
155ea474
hex4547e0

4540384 has 48 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 2090880.

The previous prime is 4540369. The next prime is 4540397. The reversal of 4540384 is 4830454.

4540384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 22717 + ... + 22915.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 24540384 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 4540384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

4540384 is an abundant number, since it is smaller than the sum of its proper divisors (5136416).

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

4540384 is a wasteful number, since it uses less digits than its factorization.

4540384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 4540384 is about 2130.8176834258. The cubic root of 4540384 is about 165.5887628804.

The spelling of 4540384 in words is "four million, five hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 199 248 368 398 496 713 736 796 992 1426 1592 2852 3184 4577 5704 6169 6368 9154 11408 12338 18308 22816 24676 36616 49352 73232 98704 141887 146464 197408 283774 567548 1135096 2270192 4540384