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54038976 = 263833391
BaseRepresentation
bin1100111000100…
…1000111000000
310202200110112120
43032021013000
5102313221401
65210124240
71224216015
oct316110700
9122613476
1054038976
112855a312
1216120680
13b270934
14726970c
154b26836
hex33891c0

54038976 has 56 divisors (see below), whose sum is σ = 144743424. Its totient is φ = 17790720.

The previous prime is 54038953. The next prime is 54038987. The reversal of 54038976 is 67983045.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14241 + ... + 17631.

It is an arithmetic number, because the mean of its divisors is an integer number (2584704).

Almost surely, 254038976 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 54038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72371712).

54038976 is an abundant number, since it is smaller than the sum of its proper divisors (90704448).

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

54038976 is a wasteful number, since it uses less digits than its factorization.

54038976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 54038976 is about 7351.1207308818. The cubic root of 54038976 is about 378.0672313997.

The spelling of 54038976 in words is "fifty-four million, thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3391 3984 5312 6782 7968 10173 13564 15936 20346 27128 40692 54256 81384 108512 162768 217024 281453 325536 562906 651072 844359 1125812 1688718 2251624 3377436 4503248 6754872 9006496 13509744 18012992 27019488 54038976