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54709568 = 26531272
BaseRepresentation
bin1101000010110…
…0110101000000
310210221112102022
43100230311000
5103001201233
65232341012
71233011054
oct320546500
9123845368
1054709568
1128978121
12163a4768
13b446c34
1473a1c64
154c0a398
hex342cd40

54709568 has 42 divisors (see below), whose sum is σ = 111490506. Its totient is φ = 26627328.

The previous prime is 54709561. The next prime is 54709597. The reversal of 54709568 is 86590745.

It can be written as a sum of positive squares in only one way, i.e., 50580544 + 4129024 = 7112^2 + 2032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54709561) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430721 + ... + 430847.

Almost surely, 254709568 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 54709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55745253).

54709568 is an abundant number, since it is smaller than the sum of its proper divisors (56780938).

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

54709568 is an equidigital number, since it uses as much as digits as its factorization.

54709568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 54709568 is about 7396.5916475090. The cubic root of 54709568 is about 379.6246709578.

The spelling of 54709568 in words is "fifty-four million, seven hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 127 212 254 424 508 848 1016 1696 2032 3392 4064 6731 8128 13462 16129 26924 32258 53848 64516 107696 129032 215392 258064 430784 516128 854837 1032256 1709674 3419348 6838696 13677392 27354784 54709568