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54535608 = 23321136703
BaseRepresentation
bin1101000000001…
…0010110111000
310210121200210100
43100002112320
5102430114413
65224515400
71231354641
oct320022670
9123550710
1054535608
1128869456
121631bb60
13b3b59ba
1473586c8
154bc3a73
hex34025b8

54535608 has 48 divisors (see below), whose sum is σ = 149029920. Its totient is φ = 18014976.

The previous prime is 54535601. The next prime is 54535627. The reversal of 54535608 is 80653545.

54535608 is a `hidden beast` number, since 5 + 45 + 3 + 5 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54535601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4785 + ... + 11487.

It is an arithmetic number, because the mean of its divisors is an integer number (3104790).

Almost surely, 254535608 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 54535608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74514960).

54535608 is an abundant number, since it is smaller than the sum of its proper divisors (94494312).

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

54535608 is a wasteful number, since it uses less digits than its factorization.

54535608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 54535608 is about 7384.8228143944. The cubic root of 54535608 is about 379.2218795793.

The spelling of 54535608 in words is "fifty-four million, five hundred thirty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 6703 8136 13406 20109 26812 40218 53624 60327 80436 120654 160872 241308 482616 757439 1514878 2272317 3029756 4544634 6059512 6816951 9089268 13633902 18178536 27267804 54535608