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58057101 = 3329531399
BaseRepresentation
bin1101110101111…
…0000110001101
311001020121101000
43131132012031
5104330311401
65432210513
71303322454
oct335360615
9131217330
1058057101
112a854183
1217539a39
13c04981b
1479d3b9b
15516c186
hex375e18d

58057101 has 32 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 36638784.

The previous prime is 58057099. The next prime is 58057117. The reversal of 58057101 is 10175085.

It is not a de Polignac number, because 58057101 - 21 = 58057099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58057151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40800 + ... + 42198.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 258057101 is an apocalyptic number.

It is an amenable number.

58057101 is a deficient number, since it is larger than the sum of its proper divisors (32662899).

58057101 is a wasteful number, since it uses less digits than its factorization.

58057101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 58057101 is about 7619.5210479400. The cubic root of 58057101 is about 387.2146516672.

The spelling of 58057101 in words is "fifty-eight million, fifty-seven thousand, one hundred one".

Divisors: 1 3 9 27 29 53 87 159 261 477 783 1399 1431 1537 4197 4611 12591 13833 37773 40571 41499 74147 121713 222441 365139 667323 1095417 2001969 2150263 6450789 19352367 58057101