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58212880 = 2451183797
BaseRepresentation
bin1101111000010…
…0001000010000
311001112112001121
43132010020100
5104400303010
65435412024
71304541565
oct336041020
9131475047
1058212880
112a950220
12175b4014
13c0a26bb
147a3486c
15519d3da
hex3784210

58212880 has 80 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 20887040.

The previous prime is 58212859. The next prime is 58212887. The reversal of 58212880 is 8821285.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (58212887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72642 + ... + 73438.

Almost surely, 258212880 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 58212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

58212880 is an abundant number, since it is smaller than the sum of its proper divisors (91402544).

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

58212880 is a wasteful number, since it uses less digits than its factorization.

58212880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 58212880 is about 7629.7365616383. The cubic root of 58212880 is about 387.5606675738.

The spelling of 58212880 in words is "fifty-eight million, two hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 797 830 880 913 1328 1594 1660 1826 3188 3320 3652 3985 4565 6376 6640 7304 7970 8767 9130 12752 14608 15940 17534 18260 31880 35068 36520 43835 63760 66151 70136 73040 87670 132302 140272 175340 264604 330755 350680 529208 661510 701360 727661 1058416 1323020 1455322 2646040 2910644 3638305 5292080 5821288 7276610 11642576 14553220 29106440 58212880