Search a number
-
+
58256220 = 223511611447
BaseRepresentation
bin1101111000111…
…0101101011100
311001121201111210
43132032231130
5104403144340
65440344420
71305112131
oct336165534
9131551453
1058256220
112a97a840
1217615110
13c0b9349
147a46588
1551ab180
hex378eb5c

58256220 has 96 divisors (see below), whose sum is σ = 180988416. Its totient is φ = 13881600.

The previous prime is 58256201. The next prime is 58256221. The reversal of 58256220 is 2265285.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58256221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39537 + ... + 40983.

It is an arithmetic number, because the mean of its divisors is an integer number (1885296).

Almost surely, 258256220 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 58256220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90494208).

58256220 is an abundant number, since it is smaller than the sum of its proper divisors (122732196).

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

58256220 is a wasteful number, since it uses less digits than its factorization.

58256220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 58256220 is about 7632.5762361080. The cubic root of 58256220 is about 387.6568244872.

The spelling of 58256220 in words is "fifty-eight million, two hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1447 1830 2013 2684 2894 3355 3660 4026 4341 5788 6710 7235 8052 8682 10065 13420 14470 15917 17364 20130 21705 28940 31834 40260 43410 47751 63668 79585 86820 88267 95502 159170 176534 191004 238755 264801 318340 353068 441335 477510 529602 882670 955020 970937 1059204 1324005 1765340 1941874 2648010 2912811 3883748 4854685 5296020 5825622 9709370 11651244 14564055 19418740 29128110 58256220