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54052760 = 23523411433
BaseRepresentation
bin1100111000110…
…0011110011000
310202201011110002
43032030132120
5102314142020
65210312132
71224304136
oct316143630
9122634402
1054052760
1128569703
1216128648
13b276ca8
147270756
154b2a975
hex338c798

54052760 has 64 divisors (see below), whose sum is σ = 130092480. Its totient is φ = 20162560.

The previous prime is 54052729. The next prime is 54052769. The reversal of 54052760 is 6725045.

54052760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54052769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37004 + ... + 38436.

It is an arithmetic number, because the mean of its divisors is an integer number (2032695).

Almost surely, 254052760 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 54052760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65046240).

54052760 is an abundant number, since it is smaller than the sum of its proper divisors (76039720).

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

54052760 is a wasteful number, since it uses less digits than its factorization.

54052760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 54052760 is about 7352.0582152211. The cubic root of 54052760 is about 378.0993738524.

The spelling of 54052760 in words is "fifty-four million, fifty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1433 1640 1886 2866 3772 4715 5732 7165 7544 9430 11464 14330 18860 28660 32959 37720 57320 58753 65918 117506 131836 164795 235012 263672 293765 329590 470024 587530 659180 1175060 1318360 1351319 2350120 2702638 5405276 6756595 10810552 13513190 27026380 54052760