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58334500 = 2253722381
BaseRepresentation
bin1101111010000…
…1110100100100
311001202200220001
43132201310210
5104413201000
65442151044
71305556300
oct336416444
9131680801
1058334500
112aa23634
1217652484
13c115b73
147a66d00
1551c446a
hex37a1d24

58334500 has 72 divisors (see below), whose sum is σ = 148265208. Its totient is φ = 19992000.

The previous prime is 58334491. The next prime is 58334501. The reversal of 58334500 is 543385.

58334500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18113536 + 40220964 = 4256^2 + 6342^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (58334501) 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, 23310 + ... + 25690.

It is an arithmetic number, because the mean of its divisors is an integer number (2059239).

Almost surely, 258334500 is an apocalyptic number.

58334500 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 58334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74132604).

58334500 is an abundant number, since it is smaller than the sum of its proper divisors (89930708).

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

58334500 is a wasteful number, since it uses less digits than its factorization.

58334500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 58334500 is about 7637.7025341394. The cubic root of 58334500 is about 387.8303807432.

Adding to 58334500 its reverse (543385), we get a palindrome (58877885).

The spelling of 58334500 in words is "fifty-eight million, three hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 700 875 980 1225 1750 2381 2450 3500 4762 4900 6125 9524 11905 12250 16667 23810 24500 33334 47620 59525 66668 83335 116669 119050 166670 233338 238100 297625 333340 416675 466676 583345 595250 833350 1166690 1190500 1666700 2083375 2333380 2916725 4166750 5833450 8333500 11666900 14583625 29167250 58334500