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54276480 = 27355349
BaseRepresentation
bin1100111100001…
…1000110000000
310210010112100000
43033003012000
5102343321410
65215200000
71226225316
oct317030600
9123115300
1054276480
11287017a5
1216216000
13b324a7b
1472cc0b6
154b71dc0
hex33c3180

54276480 has 192 divisors, whose sum is σ = 194922000. Its totient is φ = 14432256.

The previous prime is 54276473. The next prime is 54276511. The reversal of 54276480 is 8467245.

54276480 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155346 + ... + 155694.

Almost surely, 254276480 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 54276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97461000).

54276480 is an abundant number, since it is smaller than the sum of its proper divisors (140645520).

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

54276480 is an equidigital number, since it uses as much as digits as its factorization.

54276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54276480 is about 7367.2572915570. The cubic root of 54276480 is about 378.6202967311.

It can be divided in two parts, 54276 and 480, that added together give a square (54756 = 2342).

The spelling of 54276480 in words is "fifty-four million, two hundred seventy-six thousand, four hundred eighty".