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57485568 = 283717237
BaseRepresentation
bin1101101101001…
…0100100000000
311000011120101010
43123102210000
5104204014233
65412040520
71265422260
oct333224400
9130146333
1057485568
112a4a3838
1217303140
13bba963a
1478c57a0
1550a7b63
hex36d2900

57485568 has 216 divisors, whose sum is σ = 190762432. Its totient is φ = 15040512.

The previous prime is 57485557. The next prime is 57485587. The reversal of 57485568 is 86558475.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553646 + ... + 1553682.

Almost surely, 257485568 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 57485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95381216).

57485568 is an abundant number, since it is smaller than the sum of its proper divisors (133276864).

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

57485568 is a wasteful number, since it uses less digits than its factorization.

57485568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 48.

The square root of 57485568 is about 7581.9237664329. The cubic root of 57485568 is about 385.9398368831.

The spelling of 57485568 in words is "fifty-seven million, four hundred eighty-five thousand, five hundred sixty-eight".