Search a number
-
+
58295720 = 23571737331
BaseRepresentation
bin1101111001100…
…0010110101000
311001200201200202
43132120112220
5104410430340
65441251332
71305335240
oct336302650
9131621622
1058295720
112a9a748a
1217633b48
13c101312
147a56b20
1551b7c15
hex37985a8

58295720 has 128 divisors (see below), whose sum is σ = 163503360. Its totient is φ = 18247680.

The previous prime is 58295719. The next prime is 58295729. The reversal of 58295720 is 2759285.

58295720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58295729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175955 + ... + 176285.

It is an arithmetic number, because the mean of its divisors is an integer number (1277370).

Almost surely, 258295720 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 58295720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81751680).

58295720 is an abundant number, since it is smaller than the sum of its proper divisors (105207640).

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

58295720 is a wasteful number, since it uses less digits than its factorization.

58295720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 58295720 is about 7635.1633905241. The cubic root of 58295720 is about 387.7444201983.

The spelling of 58295720 in words is "fifty-eight million, two hundred ninety-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 37 40 56 68 70 74 85 119 136 140 148 170 185 238 259 280 296 331 340 370 476 518 595 629 662 680 740 952 1036 1190 1258 1295 1324 1480 1655 2072 2317 2380 2516 2590 2648 3145 3310 4403 4634 4760 5032 5180 5627 6290 6620 8806 9268 10360 11254 11585 12247 12580 13240 17612 18536 22015 22508 23170 24494 25160 28135 35224 39389 44030 45016 46340 48988 56270 61235 78778 85729 88060 92680 97976 112540 122470 157556 171458 176120 196945 208199 225080 244940 315112 342916 393890 416398 428645 489880 685832 787780 832796 857290 1040995 1457393 1575560 1665592 1714580 2081990 2914786 3429160 4163980 5829572 7286965 8327960 11659144 14573930 29147860 58295720