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54048438 = 2333183389
BaseRepresentation
bin1100111000101…
…1011010110110
310202200221112000
43032023122312
5102314022223
65210240130
71224255423
oct316133266
9122627460
1054048438
1128566434
1216126046
13b275032
14726cd4a
154b29543
hex338b6b6

54048438 has 64 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 17180640.

The previous prime is 54048437. The next prime is 54048443. The reversal of 54048438 is 83484045.

54048438 is a `hidden beast` number, since 540 + 4 + 84 + 38 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54048437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138748 + ... + 139136.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 254048438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54048438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

54048438 is an abundant number, since it is smaller than the sum of its proper divisors (71749962).

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

54048438 is a wasteful number, since it uses less digits than its factorization.

54048438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 54048438 is about 7351.7642780492. The cubic root of 54048438 is about 378.0892961120.

The spelling of 54048438 in words is "fifty-four million, forty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 83 93 166 186 249 279 389 498 558 747 778 837 1167 1494 1674 2241 2334 2573 3501 4482 5146 7002 7719 10503 12059 15438 21006 23157 24118 32287 36177 46314 64574 69471 72354 96861 108531 138942 193722 217062 290583 325593 581166 651186 871749 1000897 1743498 2001794 3002691 6005382 9008073 18016146 27024219 54048438