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58055232 = 263674513
BaseRepresentation
bin1101110101110…
…1101001000000
311001020111210210
43131131221000
5104330231412
65432154120
71303314144
oct335355100
9131214723
1058055232
112a852834
1217538940
13c048a11
1479d3224
15516b83c
hex375da40

58055232 has 56 divisors (see below), whose sum is σ = 155931616. Its totient is φ = 19058688.

The previous prime is 58055201. The next prime is 58055273. The reversal of 58055232 is 23255085.

58055232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58055232.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10608 + ... + 15120.

Almost surely, 258055232 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 58055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77965808).

58055232 is an abundant number, since it is smaller than the sum of its proper divisors (97876384).

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

58055232 is a wasteful number, since it uses less digits than its factorization.

58055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 58055232 is about 7619.3984014488. The cubic root of 58055232 is about 387.2104964939.

The spelling of 58055232 in words is "fifty-eight million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 4513 6432 9026 12864 13539 18052 27078 36104 54156 72208 108312 144416 216624 288832 302371 433248 604742 866496 907113 1209484 1814226 2418968 3628452 4837936 7256904 9675872 14513808 19351744 29027616 58055232