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58064384 = 29717953
BaseRepresentation
bin1101110101111…
…1111000000000
311001020222100202
43131133320000
5104331030014
65432304332
71303352630
oct335377000
9131228322
1058064384
112a8596a4
12175420a8
13c04cc31
1479d66c0
15516e3de
hex375fe00

58064384 has 80 divisors (see below), whose sum is σ = 140535648. Its totient is φ = 23396352.

The previous prime is 58064381. The next prime is 58064387. The reversal of 58064384 is 48346085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58064381) and next prime (58064387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58064381) 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, 60452 + ... + 61404.

Almost surely, 258064384 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 58064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70267824).

58064384 is an abundant number, since it is smaller than the sum of its proper divisors (82471264).

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

58064384 is an equidigital number, since it uses as much as digits as its factorization.

58064384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 58064384 is about 7619.9989501312. The cubic root of 58064384 is about 387.2308424308.

The spelling of 58064384 in words is "fifty-eight million, sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 953 1088 1792 1904 1906 2176 3584 3808 3812 4352 6671 7616 7624 8704 13342 15232 15248 16201 26684 30464 30496 32402 53368 60928 60992 64804 106736 113407 121984 129608 213472 226814 243968 259216 426944 453628 487936 518432 853888 907256 1036864 1707776 1814512 2073728 3415552 3629024 4147456 7258048 8294912 14516096 29032192 58064384