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54484080 = 24357241113
BaseRepresentation
bin1100111111010…
…1110001110000
310210112002002220
43033311301300
5102421442310
65223441040
71231051500
oct317656160
9123462086
1054484080
1128833772
12162b6180
13b398401
147343a00
154bb3670
hex33f5c70

54484080 has 240 divisors, whose sum is σ = 203049504. Its totient is φ = 12042240.

The previous prime is 54484057. The next prime is 54484097. The reversal of 54484080 is 8048445.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482104 + ... + 482216.

Almost surely, 254484080 is an apocalyptic number.

54484080 is the 6027-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101524752).

54484080 is an abundant number, since it is smaller than the sum of its proper divisors (148565424).

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

54484080 is a wasteful number, since it uses less digits than its factorization.

54484080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 54484080 is about 7381.3332129094. Note that the first 3 decimals coincide. The cubic root of 54484080 is about 379.1024059408.

The spelling of 54484080 in words is "fifty-four million, four hundred eighty-four thousand, eighty".