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58131768 = 2334159077
BaseRepresentation
bin1101110111000…
…0010100111000
311001101101210110
43131300110320
5104340204033
65433544320
71304053242
oct335602470
9131341713
1058131768
112a8a5292
12175750a0
13c0747c6
147a13092
155184363
hex3770538

58131768 has 32 divisors (see below), whose sum is σ = 148876560. Its totient is φ = 18904320.

The previous prime is 58131763. The next prime is 58131769. The reversal of 58131768 is 86713185.

58131768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58131761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28555 + ... + 30522.

Almost surely, 258131768 is an apocalyptic number.

It is an amenable number.

58131768 is an abundant number, since it is smaller than the sum of its proper divisors (90744792).

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

58131768 is a wasteful number, since it uses less digits than its factorization.

58131768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59127 (or 59123 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 58131768 is about 7624.4191909942. The cubic root of 58131768 is about 387.3805789477.

The spelling of 58131768 in words is "fifty-eight million, one hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 59077 118154 177231 236308 354462 472616 708924 1417848 2422157 4844314 7266471 9688628 14532942 19377256 29065884 58131768