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58138848 = 25322367131
BaseRepresentation
bin1101110111001…
…0000011100000
311001101202111200
43131302003200
5104340420343
65434041200
71304113005
oct335620340
9131352450
1058138848
112a8aa639
1217579200
13c077ab1
147a158ac
1551864d3
hex37720e0

58138848 has 144 divisors (see below), whose sum is σ = 176432256. Its totient is φ = 18120960.

The previous prime is 58138831. The next prime is 58138849. The reversal of 58138848 is 84883185.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58138849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443743 + ... + 443873.

It is an arithmetic number, because the mean of its divisors is an integer number (1225224).

Almost surely, 258138848 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 58138848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88216128).

58138848 is an abundant number, since it is smaller than the sum of its proper divisors (118293408).

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

58138848 is a wasteful number, since it uses less digits than its factorization.

58138848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 58138848 is about 7624.8834745195. The cubic root of 58138848 is about 387.3963049627.

The spelling of 58138848 in words is "fifty-eight million, one hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 67 69 72 92 96 131 134 138 144 184 201 207 262 268 276 288 368 393 402 414 524 536 552 603 736 786 804 828 1048 1072 1104 1179 1206 1541 1572 1608 1656 2096 2144 2208 2358 2412 3013 3082 3144 3216 3312 4192 4623 4716 4824 6026 6164 6288 6432 6624 8777 9039 9246 9432 9648 12052 12328 12576 13869 17554 18078 18492 18864 19296 24104 24656 26331 27117 27738 35108 36156 36984 37728 48208 49312 52662 54234 55476 70216 72312 73968 78993 96416 105324 108468 110952 140432 144624 147936 157986 201871 210648 216936 221904 280864 289248 315972 403742 421296 433872 443808 605613 631944 807484 842592 867744 1211226 1263888 1614968 1816839 2422452 2527776 3229936 3633678 4844904 6459872 7267356 9689808 14534712 19379616 29069424 58138848