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58389216 = 253797699
BaseRepresentation
bin1101111010111…
…1001011100000
311001212110221120
43132233023200
5104421423331
65443252240
71306204644
oct336571340
9131773846
1058389216
112aa60756
121767a080
13c134a42
147a7cc24
1551d5796
hex37af2e0

58389216 has 48 divisors (see below), whose sum is σ = 155232000. Its totient is φ = 19214208.

The previous prime is 58389197. The next prime is 58389257. The reversal of 58389216 is 61298385.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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, 3735 + ... + 11433.

It is an arithmetic number, because the mean of its divisors is an integer number (3234000).

Almost surely, 258389216 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 58389216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616000).

58389216 is an abundant number, since it is smaller than the sum of its proper divisors (96842784).

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

58389216 is a wasteful number, since it uses less digits than its factorization.

58389216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791 (or 7783 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 58389216 is about 7641.2836617940. The cubic root of 58389216 is about 387.9516005806.

The spelling of 58389216 in words is "fifty-eight million, three hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 7699 15398 23097 30796 46194 61592 92388 123184 184776 246368 369552 608221 739104 1216442 1824663 2432884 3649326 4865768 7298652 9731536 14597304 19463072 29194608 58389216