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58330000 = 245419307
BaseRepresentation
bin1101111010000…
…0101110010000
311001202110201101
43132200232100
5104413030000
65442114144
71305540211
oct336405620
9131673641
1058330000
112aa20213
121764b954
13c113ac1
147a65408
1551c2e6a
hex37a0b90

58330000 has 100 divisors (see below), whose sum is σ = 149139760. Its totient is φ = 22032000.

The previous prime is 58329989. The next prime is 58330031. The reversal of 58330000 is 3385.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 58330000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189847 + ... + 190153.

Almost surely, 258330000 is an apocalyptic number.

58330000 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 58330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74569880).

58330000 is an abundant number, since it is smaller than the sum of its proper divisors (90809760).

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

58330000 is a wasteful number, since it uses less digits than its factorization.

58330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 58330000 is about 7637.4079372520. The cubic root of 58330000 is about 387.8204079049.

Adding to 58330000 its reverse (3385), we get a palindrome (58333385).

The spelling of 58330000 in words is "fifty-eight million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 307 380 400 475 500 614 625 760 950 1000 1228 1250 1520 1535 1900 2000 2375 2456 2500 3070 3800 4750 4912 5000 5833 6140 7600 7675 9500 10000 11666 11875 12280 15350 19000 23332 23750 24560 29165 30700 38000 38375 46664 47500 58330 61400 76750 93328 95000 116660 122800 145825 153500 190000 191875 233320 291650 307000 383750 466640 583300 614000 729125 767500 1166600 1458250 1535000 2333200 2916500 3070000 3645625 5833000 7291250 11666000 14582500 29165000 58330000