Search a number
-
+
58868460 = 223257192459
BaseRepresentation
bin1110000010010…
…0001011101100
311002202211100100
43200210023230
5110032242320
65501431100
71313242110
oct340441354
9132684310
1058868460
1130258822
121786b490
13c271c11
147b65740
15527c790
hex38242ec

58868460 has 144 divisors (see below), whose sum is σ = 214905600. Its totient is φ = 12742272.

The previous prime is 58868429. The next prime is 58868471. The reversal of 58868460 is 6486885.

58868460 is a `hidden beast` number, since 588 + 6 + 8 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22711 + ... + 25169.

It is an arithmetic number, because the mean of its divisors is an integer number (1492400).

Almost surely, 258868460 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 58868460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107452800).

58868460 is an abundant number, since it is smaller than the sum of its proper divisors (156037140).

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

58868460 is a wasteful number, since it uses less digits than its factorization.

58868460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 58868460 is about 7672.5784453468. The cubic root of 58868460 is about 389.0101128961.

The spelling of 58868460 in words is "fifty-eight million, eight hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2459 2660 3420 3990 4788 4918 5985 7377 7980 9836 11970 12295 14754 17213 22131 23940 24590 29508 34426 36885 44262 46721 49180 51639 68852 73770 86065 88524 93442 103278 110655 140163 147540 154917 172130 186884 206556 221310 233605 258195 280326 309834 327047 344260 420489 442620 467210 516390 560652 619668 654094 700815 774585 840978 934420 981141 1032780 1308188 1401630 1549170 1635235 1681956 1962282 2102445 2803260 2943423 3098340 3270470 3924564 4204890 4905705 5886846 6540940 8409780 9811410 11773692 14717115 19622820 29434230 58868460