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58102416 = 24322353331
BaseRepresentation
bin1101110110100…
…1001010010000
311001022220112100
43131221022100
5104333234131
65433200400
71303601541
oct335511220
9131286470
1058102416
112a885229
1217560100
13c064338
147a064c8
15517a7e6
hex3769290

58102416 has 120 divisors (see below), whose sum is σ = 173399616. Its totient is φ = 18120960.

The previous prime is 58102357. The next prime is 58102423. The reversal of 58102416 is 61420185.

It is a self number, because there is not a number n which added to its sum of digits gives 58102416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175371 + ... + 175701.

Almost surely, 258102416 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 58102416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86699808).

58102416 is an abundant number, since it is smaller than the sum of its proper divisors (115297200).

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

58102416 is a wasteful number, since it uses less digits than its factorization.

58102416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58102416 is about 7622.4940800239. The cubic root of 58102416 is about 387.3153689979.

The spelling of 58102416 in words is "fifty-eight million, one hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 53 69 72 92 106 138 144 159 184 207 212 276 318 331 368 414 424 477 552 636 662 828 848 954 993 1104 1219 1272 1324 1656 1908 1986 2438 2544 2648 2979 3312 3657 3816 3972 4876 5296 5958 7314 7613 7632 7944 9752 10971 11916 14628 15226 15888 17543 19504 21942 22839 23832 29256 30452 35086 43884 45678 47664 52629 58512 60904 68517 70172 87768 91356 105258 121808 137034 140344 157887 175536 182712 210516 274068 280688 315774 365424 403489 421032 548136 631548 806978 842064 1096272 1210467 1263096 1613956 2420934 2526192 3227912 3631401 4841868 6455824 7262802 9683736 14525604 19367472 29051208 58102416