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58300000 = 25551153
BaseRepresentation
bin1101111001100…
…1011001100000
311001200221120021
43132121121200
5104411100000
65441323224
71305353563
oct336313140
9131627507
1058300000
112a9aa720
1217636514
13c103255
147a584da
1551b911a
hex3799660

58300000 has 144 divisors (see below), whose sum is σ = 159458544. Its totient is φ = 20800000.

The previous prime is 58299949. The next prime is 58300001. The reversal of 58300000 is 385.

58300000 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58300001) 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, 1099974 + ... + 1100026.

It is an arithmetic number, because the mean of its divisors is an integer number (1107351).

Almost surely, 258300000 is an apocalyptic number.

58300000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79729272).

58300000 is an abundant number, since it is smaller than the sum of its proper divisors (101158544).

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

58300000 is an equidigital number, since it uses as much as digits as its factorization.

58300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 58300000 is about 7635.4436675284. The cubic root of 58300000 is about 387.7539092054.

Adding to 58300000 its reverse (385), we get a palindrome (58300385).

The spelling of 58300000 in words is "fifty-eight million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 53 55 80 88 100 106 110 125 160 176 200 212 220 250 265 275 352 400 424 440 500 530 550 583 625 800 848 880 1000 1060 1100 1166 1250 1325 1375 1696 1760 2000 2120 2200 2332 2500 2650 2750 2915 3125 4000 4240 4400 4664 5000 5300 5500 5830 6250 6625 6875 8480 8800 9328 10000 10600 11000 11660 12500 13250 13750 14575 18656 20000 21200 22000 23320 25000 26500 27500 29150 33125 34375 42400 44000 46640 50000 53000 55000 58300 66250 68750 72875 93280 100000 106000 110000 116600 132500 137500 145750 165625 212000 220000 233200 265000 275000 291500 331250 364375 466400 530000 550000 583000 662500 728750 1060000 1100000 1166000 1325000 1457500 1821875 2332000 2650000 2915000 3643750 5300000 5830000 7287500 11660000 14575000 29150000 58300000