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54019008 = 263343727
BaseRepresentation
bin1100111000010…
…0001111000000
310202122110011000
43032010033000
5102312102013
65205452000
71224103551
oct316041700
9122573130
1054019008
112854630a
1216111000
13b264814
147262328
154b20973
hex33843c0

54019008 has 112 divisors (see below), whose sum is σ = 162722560. Its totient is φ = 17563392.

The previous prime is 54018997. The next prime is 54019037. The reversal of 54019008 is 80091045.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73941 + ... + 74667.

It is an arithmetic number, because the mean of its divisors is an integer number (1452880).

Almost surely, 254019008 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 54019008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81361280).

54019008 is an abundant number, since it is smaller than the sum of its proper divisors (108703552).

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

54019008 is a wasteful number, since it uses less digits than its factorization.

54019008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 54019008 is about 7349.7624451407. The cubic root of 54019008 is about 378.0206589868.

The spelling of 54019008 in words is "fifty-four million, nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 727 774 864 1032 1161 1376 1454 1548 1728 2064 2181 2322 2752 2908 3096 4128 4362 4644 5816 6192 6543 8256 8724 9288 11632 12384 13086 17448 18576 19629 23264 24768 26172 31261 34896 37152 39258 46528 52344 62522 69792 74304 78516 93783 104688 125044 139584 157032 187566 209376 250088 281349 314064 375132 418752 500176 562698 628128 750264 844047 1000352 1125396 1256256 1500528 1688094 2000704 2250792 3001056 3376188 4501584 6002112 6752376 9003168 13504752 18006336 27009504 54019008