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58104288 = 25321118341
BaseRepresentation
bin1101110110100…
…1100111100000
311001100000002200
43131221213200
5104333314123
65433213200
71303610154
oct335514740
9131300080
1058104288
112a886680
1217561200
13c065148
147a07064
15517b143
hex37699e0

58104288 has 72 divisors (see below), whose sum is σ = 180265176. Its totient is φ = 17606400.

The previous prime is 58104281. The next prime is 58104311. The reversal of 58104288 is 88240185.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×581042882 = 6752216567973888, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58104281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6003 + ... + 12338.

It is an arithmetic number, because the mean of its divisors is an integer number (2503683).

Almost surely, 258104288 is an apocalyptic number.

It is an amenable number.

58104288 is an abundant number, since it is smaller than the sum of its proper divisors (122160888).

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

58104288 is a wasteful number, since it uses less digits than its factorization.

58104288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18368 (or 18357 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 58104288 is about 7622.6168734891. The cubic root of 58104288 is about 387.3195285874.

The spelling of 58104288 in words is "fifty-eight million, one hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 18341 36682 55023 73364 110046 146728 165069 201751 220092 293456 330138 403502 440184 586912 605253 660276 807004 880368 1210506 1320552 1614008 1760736 1815759 2421012 2641104 3228016 3631518 4842024 5282208 6456032 7263036 9684048 14526072 19368096 29052144 58104288