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57428735 = 5721321973
BaseRepresentation
bin1101101100010…
…0101011111111
311000001200102012
43123010223333
5104200204420
65410521435
71265064500
oct333045377
9130050365
1057428735
112a465071
121729627b
13bb89800
1478acba7
155095dc5
hex36c4aff

57428735 has 72 divisors (see below), whose sum is σ = 92627280. Its totient is φ = 33965568.

The previous prime is 57428717. The next prime is 57428759. The reversal of 57428735 is 53782475.

It is not a de Polignac number, because 57428735 - 28 = 57428479 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57428692 and 57428701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 786659 + ... + 786731.

It is an arithmetic number, because the mean of its divisors is an integer number (1286490).

Almost surely, 257428735 is an apocalyptic number.

57428735 is a deficient number, since it is larger than the sum of its proper divisors (35198545).

57428735 is a wasteful number, since it uses less digits than its factorization.

57428735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its digits is 235200, while the sum is 41.

The square root of 57428735 is about 7578.1749122068. The cubic root of 57428735 is about 385.8126087117.

The spelling of 57428735 in words is "fifty-seven million, four hundred twenty-eight thousand, seven hundred thirty-five".

Divisors: 1 5 7 13 19 35 49 65 73 91 95 133 169 245 247 365 455 511 637 665 845 931 949 1183 1235 1387 1729 2555 3185 3211 3577 4655 4745 5915 6643 6935 8281 8645 9709 12103 12337 16055 17885 18031 22477 33215 41405 46501 48545 60515 61685 67963 86359 90155 112385 126217 157339 232505 234403 339815 431795 604513 631085 786695 883519 1172015 1640821 3022565 4417595 8204105 11485747 57428735