Search a number
-
+
58861300 = 22522920297
BaseRepresentation
bin1110000010001…
…0011011110100
311002202110112011
43200202123310
5110032030200
65501334004
71313212201
oct340423364
9132673464
1058861300
1130253403
1217867304
13c26b894
147b62ca8
15527a5ba
hex38226f4

58861300 has 36 divisors (see below), whose sum is σ = 132139980. Its totient is φ = 22731520.

The previous prime is 58861289. The next prime is 58861303. The reversal of 58861300 is 316885.

It can be written as a sum of positive squares in 6 ways, for example, as 1162084 + 57699216 = 1078^2 + 7596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58861303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7249 + ... + 13048.

It is an arithmetic number, because the mean of its divisors is an integer number (3670555).

Almost surely, 258861300 is an apocalyptic number.

58861300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58861300 is an abundant number, since it is smaller than the sum of its proper divisors (73278680).

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

58861300 is a wasteful number, since it uses less digits than its factorization.

58861300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20340 (or 20333 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 58861300 is about 7672.1118344299. Note that the first 3 decimals coincide. The cubic root of 58861300 is about 388.9943408662.

The spelling of 58861300 in words is "fifty-eight million, eight hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 20297 40594 81188 101485 202970 405940 507425 588613 1014850 1177226 2029700 2354452 2943065 5886130 11772260 14715325 29430650 58861300