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58048146 = 23213359691
BaseRepresentation
bin1101110101101…
…1111010010010
311001020011002100
43131123322102
5104330020041
65432101230
71303254402
oct335337222
9131204070
1058048146
112a848482
1217534816
13c045720
1479d0802
1551696b6
hex375be92

58048146 has 48 divisors (see below), whose sum is σ = 136019520. Its totient is φ = 17785440.

The previous prime is 58048141. The next prime is 58048157. The reversal of 58048146 is 64184085.

It is a self number, because there is not a number n which added to its sum of digits gives 58048146.

It is not an unprimeable number, because it can be changed into a prime (58048141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83661 + ... + 84351.

It is an arithmetic number, because the mean of its divisors is an integer number (2833740).

Almost surely, 258048146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58048146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68009760).

58048146 is an abundant number, since it is smaller than the sum of its proper divisors (77971374).

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

58048146 is a wasteful number, since it uses less digits than its factorization.

58048146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58048146 is about 7618.9333899175. The cubic root of 58048146 is about 387.1947420412.

The spelling of 58048146 in words is "fifty-eight million, forty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 359 691 718 1077 1382 2073 2154 3231 4146 4667 6219 6462 8983 9334 12438 14001 17966 26949 28002 42003 53898 80847 84006 161694 248069 496138 744207 1488414 2232621 3224897 4465242 6449794 9674691 19349382 29024073 58048146