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58134825 = 3252725273
BaseRepresentation
bin1101110111000…
…1000100101001
311001101112222200
43131301010221
5104340303300
65434010413
71304065200
oct335610451
9131345880
1058134825
112a8a7611
1217576a09
13c076008
147a14237
155185200
hex3771129

58134825 has 54 divisors (see below), whose sum is σ = 121149054. Its totient is φ = 26570880.

The previous prime is 58134809. The next prime is 58134833. The reversal of 58134825 is 52843185.

It is a happy number.

58134825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3493161 + 54641664 = 1869^2 + 7392^2 .

It is not a de Polignac number, because 58134825 - 24 = 58134809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58134825.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 8389 + ... + 13661.

It is an arithmetic number, because the mean of its divisors is an integer number (2243501).

Almost surely, 258134825 is an apocalyptic number.

It is an amenable number.

58134825 is an abundant number, since it is smaller than the sum of its proper divisors (63014229).

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

58134825 is a wasteful number, since it uses less digits than its factorization.

58134825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5288 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 58134825 is about 7624.6196626455. The cubic root of 58134825 is about 387.3873692777.

The spelling of 58134825 in words is "fifty-eight million, one hundred thirty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 5273 11025 15819 26365 36911 47457 79095 110733 131825 184555 237285 258377 332199 395475 553665 775131 922775 1186425 1291885 1660995 2325393 2768325 3875655 6459425 8304975 11626965 19378275 58134825