Search a number
-
+
58043520 = 273353359
BaseRepresentation
bin1101110101101…
…0110010000000
311001012220202000
43131122302000
5104324343040
65432024000
71303235043
oct335326200
9131186660
1058043520
112a844a57
1217532000
13c0435a2
1479ccc5a
155168130
hex375ac80

58043520 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 15473664.

The previous prime is 58043497. The next prime is 58043521. The reversal of 58043520 is 2534085.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (58043521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15601 + ... + 18959.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 258043520 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 58043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

58043520 is an abundant number, since it is smaller than the sum of its proper divisors (147588480).

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

58043520 is a wasteful number, since it uses less digits than its factorization.

58043520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 58043520 is about 7618.6297980674. The cubic root of 58043520 is about 387.1844562665.

It can be divided in two parts, 580 and 43520, that added together give a square (44100 = 2102).

The spelling of 58043520 in words is "fifty-eight million, forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3359 3456 4320 5760 6718 8640 10077 13436 16795 17280 20154 26872 30231 33590 40308 50385 53744 60462 67180 80616 90693 100770 107488 120924 134360 151155 161232 181386 201540 214976 241848 268720 302310 322464 362772 403080 429952 453465 483696 537440 604620 644928 725544 806160 906930 967392 1074880 1209240 1289856 1451088 1612320 1813860 1934784 2149760 2418480 2902176 3224640 3627720 3869568 4836960 5804352 6449280 7255440 9673920 11608704 14510880 19347840 29021760 58043520