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54038336 = 2611591301
BaseRepresentation
bin1100111000100…
…0111101000000
310202200102122212
43032020331000
5102313211321
65210121252
71224214112
oct316107500
9122612585
1054038336
1128559890
1216120228
13b270561
1472693b2
154b2655b
hex3388f40

54038336 has 56 divisors (see below), whose sum is σ = 119054880. Its totient is φ = 24128000.

The previous prime is 54038329. The next prime is 54038351. The reversal of 54038336 is 63383045.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40886 + ... + 42186.

It is an arithmetic number, because the mean of its divisors is an integer number (2125980).

Almost surely, 254038336 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 54038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59527440).

54038336 is an abundant number, since it is smaller than the sum of its proper divisors (65016544).

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

54038336 is a wasteful number, since it uses less digits than its factorization.

54038336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 54038336 is about 7351.0771999755. The cubic root of 54038336 is about 378.0657388721.

The spelling of 54038336 in words is "fifty-four million, thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 176 236 352 472 649 704 944 1298 1301 1888 2596 2602 3776 5192 5204 10384 10408 14311 20768 20816 28622 41536 41632 57244 76759 83264 114488 153518 228976 307036 457952 614072 844349 915904 1228144 1688698 2456288 3377396 4912576 6754792 13509584 27019168 54038336