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57143328 = 25311531021
BaseRepresentation
bin1101100111111…
…1000000100000
310222112011220120
43121333000200
5104112041303
65400440240
71262465424
oct331770040
9128464816
1057143328
112a28a6a0
1217179080
13bab9928
147836b84
15503b553
hex367f020

57143328 has 96 divisors (see below), whose sum is σ = 166888512. Its totient is φ = 16972800.

The previous prime is 57143327. The next prime is 57143351. The reversal of 57143328 is 82334175.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (57143321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55458 + ... + 56478.

It is an arithmetic number, because the mean of its divisors is an integer number (1738422).

Almost surely, 257143328 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 57143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83444256).

57143328 is an abundant number, since it is smaller than the sum of its proper divisors (109745184).

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

57143328 is a wasteful number, since it uses less digits than its factorization.

57143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 57143328 is about 7559.3206043930. The cubic root of 57143328 is about 385.1724150453.

The spelling of 57143328 in words is "fifty-seven million, one hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1021 1056 1166 1272 1696 1749 2042 2332 2544 3063 3498 4084 4664 5088 6126 6996 8168 9328 11231 12252 13992 16336 18656 22462 24504 27984 32672 33693 44924 49008 54113 55968 67386 89848 98016 108226 134772 162339 179696 216452 269544 324678 359392 432904 539088 595243 649356 865808 1078176 1190486 1298712 1731616 1785729 2380972 2597424 3571458 4761944 5194848 7142916 9523888 14285832 19047776 28571664 57143328