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54208416 = 253564671
BaseRepresentation
bin1100111011001…
…0011110100000
310210000001222010
43032302132200
5102334132131
65213512520
71225523013
oct316623640
9123001863
1054208416
1128665649
12161a2740
13b2ccab2
1472b137a
154b5bb46
hex33b27a0

54208416 has 24 divisors (see below), whose sum is σ = 142297344. Its totient is φ = 18069440.

The previous prime is 54208411. The next prime is 54208439. The reversal of 54208416 is 61480245.

54208416 is digitally balanced in base 2, 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 (24).

It is not an unprimeable number, because it can be changed into a prime (54208411) 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 3 ways as a sum of consecutive naturals, for example, 282240 + ... + 282431.

It is an arithmetic number, because the mean of its divisors is an integer number (5929056).

Almost surely, 254208416 is an apocalyptic number.

It is an amenable number.

54208416 is an abundant number, since it is smaller than the sum of its proper divisors (88088928).

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

54208416 is a wasteful number, since it uses less digits than its factorization.

54208416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564684 (or 564676 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 54208416 is about 7362.6364843037. The cubic root of 54208416 is about 378.4619642353.

The spelling of 54208416 in words is "fifty-four million, two hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 564671 1129342 1694013 2258684 3388026 4517368 6776052 9034736 13552104 18069472 27104208 54208416