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54062016 = 263312293
BaseRepresentation
bin1100111000111…
…0101111000000
310202201122010220
43032032233000
5102314441031
65210423040
71224343131
oct316165700
9122648126
1054062016
1128575658
1216131a80
13b27b278
147273c88
154b2d596
hex338ebc0

54062016 has 84 divisors (see below), whose sum is σ = 148306536. Its totient is φ = 17379840.

The previous prime is 54061999. The next prime is 54062033. The reversal of 54062016 is 61026045.

54062016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54061999) and next prime (54062033).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 184366 + ... + 184658.

It is an arithmetic number, because the mean of its divisors is an integer number (1765554).

Almost surely, 254062016 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 54062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74153268).

54062016 is an abundant number, since it is smaller than the sum of its proper divisors (94244520).

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

54062016 is a wasteful number, since it uses less digits than its factorization.

54062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54062016 is about 7352.6876718653. The cubic root of 54062016 is about 378.1209545454.

The spelling of 54062016 in words is "fifty-four million, sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 293 372 496 586 744 879 961 992 1172 1488 1758 1922 1984 2344 2883 2976 3516 3844 4688 5766 5952 7032 7688 9083 9376 11532 14064 15376 18166 18752 23064 27249 28128 30752 36332 46128 54498 56256 61504 72664 92256 108996 145328 184512 217992 281573 290656 435984 563146 581312 844719 871968 1126292 1689438 1743936 2252584 3378876 4505168 6757752 9010336 13515504 18020672 27031008 54062016