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54048330 = 2335728597
BaseRepresentation
bin1100111000101…
…1011001001010
310202200221101000
43032023121022
5102314021310
65210235430
71224255210
oct316133112
9122627330
1054048330
1128566346
1216125b76
13b274c7b
14726ccb0
154b294c0
hex338b64a

54048330 has 64 divisors (see below), whose sum is σ = 164724480. Its totient is φ = 12353472.

The previous prime is 54048317. The next prime is 54048353. The reversal of 54048330 is 3384045.

It is a happy number.

54048330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54048294 and 54048303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12409 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (2573820).

Almost surely, 254048330 is an apocalyptic number.

54048330 is an abundant number, since it is smaller than the sum of its proper divisors (110676150).

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

54048330 is a wasteful number, since it uses less digits than its factorization.

54048330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28620 (or 28614 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54048330 is about 7351.7569328699. The cubic root of 54048330 is about 378.0890442782.

The spelling of 54048330 in words is "fifty-four million, forty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 28597 57194 85791 142985 171582 200179 257373 285970 400358 428955 514746 600537 772119 857910 1000895 1201074 1286865 1544238 1801611 2001790 2573730 3002685 3603222 3860595 5404833 6005370 7721190 9008055 10809666 18016110 27024165 54048330