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58059856 = 2429157797
BaseRepresentation
bin1101110101111…
…0110001010000
311001020202011001
43131132301100
5104330403411
65432231344
71303333501
oct335366120
9131222131
1058059856
112a856258
121753b554
13c04ab5a
1479d4ba8
15516cdc1
hex375ec50

58059856 has 40 divisors (see below), whose sum is σ = 117258120. Its totient is φ = 27815424.

The previous prime is 58059817. The next prime is 58059871. The reversal of 58059856 is 65895085.

It is a happy number.

58059856 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 4769856 + 53290000 = 2184^2 + 7300^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72450 + ... + 73246.

It is an arithmetic number, because the mean of its divisors is an integer number (2931453).

Almost surely, 258059856 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 58059856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58629060).

58059856 is an abundant number, since it is smaller than the sum of its proper divisors (59198264).

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

58059856 is a wasteful number, since it uses less digits than its factorization.

58059856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The square root of 58059856 is about 7619.7018314367. The cubic root of 58059856 is about 387.2207764391.

The spelling of 58059856 in words is "fifty-eight million, fifty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 157 232 314 464 628 797 1256 1594 2512 3188 4553 6376 9106 12752 18212 23113 36424 46226 72848 92452 125129 184904 250258 369808 500516 1001032 2002064 3628741 7257482 14514964 29029928 58059856