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58330880 = 285199229
BaseRepresentation
bin1101111010000…
…0111100000000
311001202111220222
43132200330000
5104413042010
65442122212
71305542606
oct336407400
9131674828
1058330880
112aa20943
1217650368
13c11431a
147a65876
1551c3355
hex37a0f00

58330880 has 72 divisors (see below), whose sum is σ = 141036000. Its totient is φ = 23113728.

The previous prime is 58330843. The next prime is 58330889. The reversal of 58330880 is 8803385.

It is a self number, because there is not a number n which added to its sum of digits gives 58330880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58330889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 254606 + ... + 254834.

Almost surely, 258330880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70518000).

58330880 is an abundant number, since it is smaller than the sum of its proper divisors (82705120).

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

58330880 is a wasteful number, since it uses less digits than its factorization.

58330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 58330880 is about 7637.4655482038. The cubic root of 58330880 is about 387.8223581892.

The spelling of 58330880 in words is "fifty-eight million, three hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 229 256 320 398 458 640 796 916 995 1145 1280 1592 1832 1990 2290 3184 3664 3980 4580 6368 7328 7960 9160 12736 14656 15920 18320 25472 29312 31840 36640 45571 50944 58624 63680 73280 91142 127360 146560 182284 227855 254720 293120 364568 455710 729136 911420 1458272 1822840 2916544 3645680 5833088 7291360 11666176 14582720 29165440 58330880