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54065440 = 255111317139
BaseRepresentation
bin1100111000111…
…1100100100000
310202201210211201
43032033210200
5102320043230
65210450544
71224356122
oct316174440
9122653751
1054065440
1128578190
1216133a54
13b27c9b0
147275212
154b2e5ca
hex338f920

54065440 has 192 divisors, whose sum is σ = 160030080. Its totient is φ = 16957440.

The previous prime is 54065419. The next prime is 54065443. The reversal of 54065440 is 4456045.

It is a junction number, because it is equal to n+sod(n) for n = 54065399 and 54065408.

It is not an unprimeable number, because it can be changed into a prime (54065443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388891 + ... + 389029.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 254065440 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 54065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

54065440 is an abundant number, since it is smaller than the sum of its proper divisors (105964640).

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

54065440 is a wasteful number, since it uses less digits than its factorization.

54065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 54065440 is about 7352.9205082062. The cubic root of 54065440 is about 378.1289370990.

The spelling of 54065440 in words is "fifty-four million, sixty-five thousand, four hundred forty".