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58841216 = 277173863
BaseRepresentation
bin1110000001110…
…1100010000000
311002201102222022
43200131202000
5110030404331
65501101012
71313066510
oct340354200
9132642868
1058841216
113023a305
1217857768
13c2626b5
147b59840
15527467b
hex381d880

58841216 has 64 divisors (see below), whose sum is σ = 141886080. Its totient is φ = 23728128.

The previous prime is 58841197. The next prime is 58841221. The reversal of 58841216 is 61214885.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13301 + ... + 17163.

It is an arithmetic number, because the mean of its divisors is an integer number (2216970).

Almost surely, 258841216 is an apocalyptic number.

58841216 is a gapful number since it is divisible by the number (56) 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 58841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70943040).

58841216 is an abundant number, since it is smaller than the sum of its proper divisors (83044864).

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

58841216 is a wasteful number, since it uses less digits than its factorization.

58841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3889 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 58841216 is about 7670.8028263018. The cubic root of 58841216 is about 388.9500930549.

The spelling of 58841216 in words is "fifty-eight million, eight hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 3863 7616 7726 15232 15452 27041 30904 54082 61808 65671 108164 123616 131342 216328 247232 262684 432656 459697 494464 525368 865312 919394 1050736 1730624 1838788 2101472 3461248 3677576 4202944 7355152 8405888 14710304 29420608 58841216