Search a number
-
+
58328500 = 2253116657
BaseRepresentation
bin1101111010000…
…0010110110100
311001202101122211
43132200112310
5104413003000
65442103204
71305532636
oct336402664
9131671584
1058328500
112aa1a07a
121764ab04
13c113209
147a64a56
1551c27ba
hex37a05b4

58328500 has 24 divisors (see below), whose sum is σ = 127390536. Its totient is φ = 23331200.

The previous prime is 58328497. The next prime is 58328503. The reversal of 58328500 is 582385.

58328500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58328497) and next prime (58328503).

It can be written as a sum of positive squares in 4 ways, for example, as 18335524 + 39992976 = 4282^2 + 6324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58328503) 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, 57829 + ... + 58828.

It is an arithmetic number, because the mean of its divisors is an integer number (5307939).

Almost surely, 258328500 is an apocalyptic number.

58328500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58328500 is an abundant number, since it is smaller than the sum of its proper divisors (69062036).

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

58328500 is a wasteful number, since it uses less digits than its factorization.

58328500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116676 (or 116664 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 58328500 is about 7637.3097357643. The cubic root of 58328500 is about 387.8170835116.

The spelling of 58328500 in words is "fifty-eight million, three hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 116657 233314 466628 583285 1166570 2333140 2916425 5832850 11665700 14582125 29164250 58328500