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4538016 = 253272251
BaseRepresentation
bin10001010011111010100000
322112112222200
4101103322200
52130204031
6241133200
753400240
oct21237240
98475880
104538016
11261a52a
12162a200
13c2b722
14861b20
155e98e6
hex453ea0

4538016 has 72 divisors (see below), whose sum is σ = 14755104. Its totient is φ = 1296000.

The previous prime is 4537993. The next prime is 4538033. The reversal of 4538016 is 6108354.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 891 + ... + 3141.

It is an arithmetic number, because the mean of its divisors is an integer number (204932).

Almost surely, 24538016 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 4538016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377552).

4538016 is an abundant number, since it is smaller than the sum of its proper divisors (10217088).

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

4538016 is a wasteful number, since it uses less digits than its factorization.

4538016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4538016 is about 2130.2619557228. The cubic root of 4538016 is about 165.5599707211.

The spelling of 4538016 in words is "four million, five hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2251 4502 6753 9004 13506 15757 18008 20259 27012 31514 36016 40518 47271 54024 63028 72032 81036 94542 108048 126056 141813 162072 189084 216096 252112 283626 324144 378168 504224 567252 648288 756336 1134504 1512672 2269008 4538016