Search a number
-
+
58103232 = 2631124161
BaseRepresentation
bin1101110110100…
…1010111000000
311001022221122120
43131221113000
5104333300412
65433204240
71303604115
oct335512700
9131287576
1058103232
112a885900
1217560680
13c064815
147a0690c
15517ab8c
hex37695c0

58103232 has 168 divisors, whose sum is σ = 175936656. Its totient is φ = 16896000.

The previous prime is 58103219. The next prime is 58103239. The reversal of 58103232 is 23230185.

58103232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58103239) 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 23 ways as a sum of consecutive naturals, for example, 952482 + ... + 952542.

It is an arithmetic number, because the mean of its divisors is an integer number (1047242).

Almost surely, 258103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87968328).

58103232 is an abundant number, since it is smaller than the sum of its proper divisors (117833424).

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

58103232 is a wasteful number, since it uses less digits than its factorization.

58103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 58103232 is about 7622.5476056237. The cubic root of 58103232 is about 387.3171821633.

The spelling of 58103232 in words is "fifty-eight million, one hundred three thousand, two hundred thirty-two".