Search a number
-
+
58241064 = 23373153211
BaseRepresentation
bin1101111000101…
…1000000101000
311001120221201110
43132023000220
5104402203224
65440150320
71305020010
oct336130050
9131527643
1058241064
112a96a412
12176083a0
13c0b248b
147a40c40
1551a6929
hex378b028

58241064 has 128 divisors (see below), whose sum is σ = 175841280. Its totient is φ = 15724800.

The previous prime is 58241039. The next prime is 58241069. The reversal of 58241064 is 46014285.

It is not an unprimeable number, because it can be changed into a prime (58241069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275919 + ... + 276129.

It is an arithmetic number, because the mean of its divisors is an integer number (1373760).

Almost surely, 258241064 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 58241064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87920640).

58241064 is an abundant number, since it is smaller than the sum of its proper divisors (117600216).

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

58241064 is a wasteful number, since it uses less digits than its factorization.

58241064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 58241064 is about 7631.5833219588. The cubic root of 58241064 is about 387.6232038345.

The spelling of 58241064 in words is "fifty-eight million, two hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 53 56 62 84 93 106 124 159 168 186 211 212 217 248 318 371 372 422 424 434 633 636 651 742 744 844 868 1113 1266 1272 1302 1477 1484 1643 1688 1736 2226 2532 2604 2954 2968 3286 4431 4452 4929 5064 5208 5908 6541 6572 8862 8904 9858 11183 11501 11816 13082 13144 17724 19623 19716 22366 23002 26164 33549 34503 35448 39246 39432 44732 45787 46004 52328 67098 69006 78281 78492 89464 91574 92008 134196 137361 138012 156562 156984 183148 234843 268392 274722 276024 313124 346673 366296 469686 549444 626248 693346 939372 1040019 1098888 1386692 1878744 2080038 2426711 2773384 4160076 4853422 7280133 8320152 9706844 14560266 19413688 29120532 58241064