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57434058 = 2321117113151
BaseRepresentation
bin1101101100010…
…1111111001010
311000001221201100
43123011333022
5104200342213
65411002230
71265116143
oct333057712
9130057640
1057434058
112a469070
1217299376
13bb8c066
1478b0aca
155097773
hex36c5fca

57434058 has 96 divisors (see below), whose sum is σ = 145971072. Its totient is φ = 16128000.

The previous prime is 57434057. The next prime is 57434063. The reversal of 57434058 is 85043475.

57434058 is a `hidden beast` number, since 574 + 34 + 0 + 58 = 666.

It is not an unprimeable number, because it can be changed into a prime (57434051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380283 + ... + 380433.

It is an arithmetic number, because the mean of its divisors is an integer number (1520532).

Almost surely, 257434058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57434058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72985536).

57434058 is an abundant number, since it is smaller than the sum of its proper divisors (88537014).

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

57434058 is a wasteful number, since it uses less digits than its factorization.

57434058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 57434058 is about 7578.5261100032. The cubic root of 57434058 is about 385.8245285115.

It can be divided in two parts, 5743 and 4058, that added together give a square (9801 = 992).

The spelling of 57434058 in words is "fifty-seven million, four hundred thirty-four thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 113 151 153 187 198 226 302 306 339 374 453 561 678 906 1017 1122 1243 1359 1661 1683 1921 2034 2486 2567 2718 3322 3366 3729 3842 4983 5134 5763 7458 7701 9966 11187 11526 14949 15402 17063 17289 21131 22374 23103 28237 29898 34126 34578 42262 46206 51189 56474 63393 84711 102378 126786 153567 169422 187693 190179 254133 290071 307134 375386 380358 508266 563079 580142 870213 1126158 1689237 1740426 2610639 3190781 3378474 5221278 6381562 9572343 19144686 28717029 57434058