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58234000 = 2453112647
BaseRepresentation
bin1101111000100…
…1010010010000
311001120121000211
43132021102100
5104401442000
65440053504
71304660266
oct336112220
9131517024
1058234000
112a965080
1217604294
13c0ac1b6
147a3c436
1551a47ba
hex3789490

58234000 has 80 divisors (see below), whose sum is σ = 153668736. Its totient is φ = 21168000.

The previous prime is 58233991. The next prime is 58234019. The reversal of 58234000 is 43285.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20677 + ... + 23323.

Almost surely, 258234000 is an apocalyptic number.

58234000 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 58234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76834368).

58234000 is an abundant number, since it is smaller than the sum of its proper divisors (95434736).

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

58234000 is a wasteful number, since it uses less digits than its factorization.

58234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 58234000 is about 7631.1204943966. The cubic root of 58234000 is about 387.6075317249.

Adding to 58234000 its reverse (43285), we get a palindrome (58277285).

The spelling of 58234000 in words is "fifty-eight million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2647 2750 4400 5294 5500 10588 11000 13235 21176 22000 26470 29117 42352 52940 58234 66175 105880 116468 132350 145585 211760 232936 264700 291170 330875 465872 529400 582340 661750 727925 1058800 1164680 1323500 1455850 2329360 2647000 2911700 3639625 5294000 5823400 7279250 11646800 14558500 29117000 58234000