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58208328 = 2333318693
BaseRepresentation
bin1101111000001…
…1000001001000
311001112021211000
43132003001020
5104400131303
65435335000
71304522403
oct336030110
9131467730
1058208328
112a947862
12175b1460
13c0a05c9
147a32d3a
15519bda3
hex3783048

58208328 has 64 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 18774720.

The previous prime is 58208317. The next prime is 58208329. The reversal of 58208328 is 82380285.

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

It is a junction number, because it is equal to n+sod(n) for n = 58208292 and 58208301.

It is not an unprimeable number, because it can be changed into a prime (58208329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350 + ... + 11042.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 258208328 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 58208328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

58208328 is an abundant number, since it is smaller than the sum of its proper divisors (108716472).

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

58208328 is a wasteful number, since it uses less digits than its factorization.

58208328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8739 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58208328 is about 7629.4382493077. The cubic root of 58208328 is about 387.5505654444.

The spelling of 58208328 in words is "fifty-eight million, two hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 8693 17386 26079 34772 52158 69544 78237 104316 156474 208632 234711 269483 312948 469422 538966 625896 808449 938844 1077932 1616898 1877688 2155864 2425347 3233796 4850694 6467592 7276041 9701388 14552082 19402776 29104164 58208328