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57880192 = 27412269
BaseRepresentation
bin1101110011001…
…0111010000000
311000220121200211
43130302322000
5104304131232
65424323504
71301654626
oct334627200
9130817624
1057880192
112a743277
1217473594
13bcb7146
147989516
155134a47
hex3732e80

57880192 has 48 divisors (see below), whose sum is σ = 118628550. Its totient is φ = 28129280.

The previous prime is 57880183. The next prime is 57880231. The reversal of 57880192 is 29108875.

It can be written as a sum of positive squares in 3 ways, for example, as 6843456 + 51036736 = 2616^2 + 7144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215034 + ... + 215302.

Almost surely, 257880192 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 57880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59314275).

57880192 is an abundant number, since it is smaller than the sum of its proper divisors (60748358).

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

57880192 is an equidigital number, since it uses as much as digits as its factorization.

57880192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 57880192 is about 7607.9032591115. The cubic root of 57880192 is about 386.8209504538.

The spelling of 57880192 in words is "fifty-seven million, eight hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 269 328 538 656 1076 1312 1681 2152 2624 3362 4304 5248 6724 8608 11029 13448 17216 22058 26896 34432 44116 53792 88232 107584 176464 215168 352928 452189 705856 904378 1411712 1808756 3617512 7235024 14470048 28940096 57880192