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58080192 = 2631132677
BaseRepresentation
bin1101110110001…
…1101111000000
311001021210001020
43131203233000
5104332031232
65432505440
71303450002
oct335435700
9131253036
1058080192
112a86a565
121754b280
13c0571a1
1479dc372
155173e2c
hex3763bc0

58080192 has 56 divisors (see below), whose sum is σ = 155088336. Its totient is φ = 19181568.

The previous prime is 58080179. The next prime is 58080233. The reversal of 58080192 is 29108085.

It is a happy number.

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, 20358 + ... + 23034.

Almost surely, 258080192 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 58080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77544168).

58080192 is an abundant number, since it is smaller than the sum of its proper divisors (97008144).

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

58080192 is a wasteful number, since it uses less digits than its factorization.

58080192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 58080192 is about 7621.0361500258. The cubic root of 58080192 is about 387.2659803778.

The spelling of 58080192 in words is "fifty-eight million, eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2677 2712 3616 5354 5424 7232 8031 10708 10848 16062 21416 21696 32124 42832 64248 85664 128496 171328 256992 302501 513984 605002 907503 1210004 1815006 2420008 3630012 4840016 7260024 9680032 14520048 19360064 29040096 58080192