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57500288 = 273143337
BaseRepresentation
bin1101101101011…
…0001010000000
311000012022120022
43123112022000
5104210002123
65412233012
71265513216
oct333261200
9130168508
1057500288
112a5038aa
121730b768
13bbb3251
1478cacb6
1550ac1c8
hex36d6280

57500288 has 64 divisors (see below), whose sum is σ = 121355520. Its totient is φ = 27095040.

The previous prime is 57500263. The next prime is 57500321. The reversal of 57500288 is 88200575.

It is a tau number, because it is divible by the number of its divisors (64).

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, 170456 + ... + 170792.

It is an arithmetic number, because the mean of its divisors is an integer number (1896180).

Almost surely, 257500288 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 57500288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60677760).

57500288 is an abundant number, since it is smaller than the sum of its proper divisors (63855232).

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

57500288 is a wasteful number, since it uses less digits than its factorization.

57500288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 57500288 is about 7582.8944341854. The cubic root of 57500288 is about 385.9727758727.

The spelling of 57500288 in words is "fifty-seven million, five hundred thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 337 344 496 674 688 992 1333 1348 1376 1984 2666 2696 2752 3968 5332 5392 5504 10447 10664 10784 14491 20894 21328 21568 28982 41788 42656 43136 57964 83576 85312 115928 167152 170624 231856 334304 449221 463712 668608 898442 927424 1337216 1796884 1854848 3593768 7187536 14375072 28750144 57500288