Search a number
-
+
58481416 = 2374125471
BaseRepresentation
bin1101111100010…
…1101100001000
311002001011102101
43133011230020
5104432401131
65445243144
71310040520
oct337055410
9132034371
1058481416
1130013a54
12177034b4
13c1679b6
147aa4680
155202c61
hex37c5b08

58481416 has 32 divisors (see below), whose sum is σ = 128378880. Its totient is φ = 24451200.

The previous prime is 58481399. The next prime is 58481417. The reversal of 58481416 is 61418485.

58481416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (58481417) 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, 10440 + ... + 15031.

It is an arithmetic number, because the mean of its divisors is an integer number (4011840).

Almost surely, 258481416 is an apocalyptic number.

58481416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

58481416 is an abundant number, since it is smaller than the sum of its proper divisors (69897464).

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

58481416 is a wasteful number, since it uses less digits than its factorization.

58481416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25525 (or 25521 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 58481416 is about 7647.3142998049. The cubic root of 58481416 is about 388.1556926450.

The spelling of 58481416 in words is "fifty-eight million, four hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 25471 50942 101884 178297 203768 356594 713188 1044311 1426376 2088622 4177244 7310177 8354488 14620354 29240708 58481416