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58089152 = 2611109757
BaseRepresentation
bin1101110110010…
…1111011000000
311001022020100002
43131211323000
5104332323102
65433015132
71303515062
oct335457300
9131266302
1058089152
112a876270
12175544a8
13c05b2a4
147a01732
155176902
hex3765ec0

58089152 has 56 divisors (see below), whose sum is σ = 127071120. Its totient is φ = 26127360.

The previous prime is 58089151. The next prime is 58089179. The reversal of 58089152 is 25198085.

It is not an unprimeable number, because it can be changed into a prime (58089151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76358 + ... + 77114.

Almost surely, 258089152 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 58089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63535560).

58089152 is an abundant number, since it is smaller than the sum of its proper divisors (68981968).

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

58089152 is a wasteful number, since it uses less digits than its factorization.

58089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 58089152 is about 7621.6239739310. The cubic root of 58089152 is about 387.2858937920.

The spelling of 58089152 in words is "fifty-eight million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 176 218 352 436 704 757 872 1199 1514 1744 2398 3028 3488 4796 6056 6976 8327 9592 12112 16654 19184 24224 33308 38368 48448 66616 76736 82513 133232 165026 266464 330052 532928 660104 907643 1320208 1815286 2640416 3630572 5280832 7261144 14522288 29044576 58089152