Search a number
-
+
58589244 = 2235779109
BaseRepresentation
bin1101111110000…
…0000000111100
311002020122100000
43133200000330
5104444323434
65451434300
71311000060
oct337400074
9132218300
1058589244
1130087a6a
1217755990
13c1a4abc
147ad1aa0
155224b99
hex37e003c

58589244 has 144 divisors (see below), whose sum is σ = 179379200. Its totient is φ = 16376256.

The previous prime is 58589239. The next prime is 58589249. The reversal of 58589244 is 44298585.

It is an interprime number because it is at equal distance from previous prime (58589239) and next prime (58589249).

Its product of digits (460800) is a multiple of the sum of its prime divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 58589244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58589249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537462 + ... + 537570.

Almost surely, 258589244 is an apocalyptic number.

58589244 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58589244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89689600).

58589244 is an abundant number, since it is smaller than the sum of its proper divisors (120789956).

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

58589244 is a wasteful number, since it uses less digits than its factorization.

58589244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 58589244 is about 7654.3611098510. The cubic root of 58589244 is about 388.3941065875.

The spelling of 58589244 in words is "fifty-eight million, five hundred eighty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 81 84 108 109 126 158 162 189 218 237 243 252 316 324 327 378 436 474 486 553 567 654 711 756 763 948 972 981 1106 1134 1308 1422 1526 1659 1701 1962 2133 2212 2268 2289 2844 2943 3052 3318 3402 3924 4266 4578 4977 5886 6399 6636 6804 6867 8532 8611 8829 9156 9954 11772 12798 13734 14931 17222 17658 19197 19908 20601 25596 25833 26487 27468 29862 34444 35316 38394 41202 44793 51666 52974 59724 60277 61803 76788 77499 82404 89586 103332 105948 120554 123606 134379 154998 179172 180831 185409 232497 241108 247212 268758 309996 361662 370818 464994 537516 542493 697491 723324 741636 929988 1084986 1394982 1627479 2092473 2169972 2789964 3254958 4184946 4882437 6509916 8369892 9764874 14647311 19529748 29294622 58589244