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58239216 = 2433719259
BaseRepresentation
bin1101111000101…
…0100011110000
311001120212012000
43132022203300
5104402123331
65440134000
71305011430
oct336124360
9131525160
1058239216
112a968a92
1217607300
13c0b1699
147a402c0
1551a60e6
hex378a8f0

58239216 has 80 divisors (see below), whose sum is σ = 191059200. Its totient is φ = 16638912.

The previous prime is 58239211. The next prime is 58239253. The reversal of 58239216 is 61293285.

58239216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58239211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6606 + ... + 12653.

It is an arithmetic number, because the mean of its divisors is an integer number (2388240).

Almost surely, 258239216 is an apocalyptic number.

58239216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

58239216 is an abundant number, since it is smaller than the sum of its proper divisors (132819984).

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

58239216 is a wasteful number, since it uses less digits than its factorization.

58239216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19283 (or 19271 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 58239216 is about 7631.4622452057. The cubic root of 58239216 is about 387.6191040052.

The spelling of 58239216 in words is "fifty-eight million, two hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 19259 38518 57777 77036 115554 134813 154072 173331 231108 269626 308144 346662 404439 462216 519993 539252 693324 808878 924432 1039986 1078504 1213317 1386648 1617756 2079972 2157008 2426634 2773296 3235512 3639951 4159944 4853268 6471024 7279902 8319888 9706536 14559804 19413072 29119608 58239216