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58084884 = 223311133761
BaseRepresentation
bin1101110110010…
…0111000010100
311001022000111000
43131210320110
5104332204014
65432543300
71303466454
oct335447024
9131260430
1058084884
112a873040
1217551b30
13c059370
1479ddd64
155175509
hex3764e14

58084884 has 96 divisors (see below), whose sum is σ = 176964480. Its totient is φ = 16243200.

The previous prime is 58084853. The next prime is 58084907. The reversal of 58084884 is 48848085.

It is a happy number.

58084884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13564 + ... + 17324.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 258084884 is an apocalyptic number.

58084884 is a gapful number since it is divisible by the number (54) 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 58084884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88482240).

58084884 is an abundant number, since it is smaller than the sum of its proper divisors (118879596).

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

58084884 is a wasteful number, since it uses less digits than its factorization.

58084884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 58084884 is about 7621.3439759664. The cubic root of 58084884 is about 387.2764085059.

The spelling of 58084884 in words is "fifty-eight million, eighty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3761 3861 5148 7522 7722 11283 15044 15444 22566 33849 41371 45132 48893 67698 82742 97786 101547 124113 135396 146679 165484 195572 203094 248226 293358 372339 406188 440037 496452 537823 586716 744678 880074 1075646 1117017 1320111 1489356 1613469 1760148 2151292 2234034 2640222 3226938 4468068 4840407 5280444 6453876 9680814 14521221 19361628 29042442 58084884