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58498020 = 223257172731
BaseRepresentation
bin1101111100100…
…1101111100100
311002002000012100
43133021233210
5104433414040
65445452100
71310140110
oct337115744
9132060170
1058498020
1130025479
1217711030
13c172419
147aaa740
155207b30
hex37c9be4

58498020 has 144 divisors (see below), whose sum is σ = 214800768. Its totient is φ = 12579840.

The previous prime is 58498007. The next prime is 58498049. The reversal of 58498020 is 2089485.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20055 + ... + 22785.

It is an arithmetic number, because the mean of its divisors is an integer number (1491672).

Almost surely, 258498020 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 58498020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107400384).

58498020 is an abundant number, since it is smaller than the sum of its proper divisors (156302748).

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

58498020 is a wasteful number, since it uses less digits than its factorization.

58498020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 58498020 is about 7648.3998326447. The cubic root of 58498020 is about 388.1924241272.

The spelling of 58498020 in words is "fifty-eight million, four hundred ninety-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 2731 3060 3570 4284 5355 5462 7140 8193 10710 10924 13655 16386 19117 21420 24579 27310 32772 38234 40965 46427 49158 54620 57351 76468 81930 92854 95585 98316 114702 122895 139281 163860 172053 185708 191170 229404 232135 245790 278562 286755 324989 344106 382340 417843 464270 491580 557124 573510 649978 688212 696405 835686 860265 928540 974967 1147020 1299956 1392810 1624945 1671372 1720530 1949934 2089215 2785620 2924901 3249890 3441060 3899868 4178430 4874835 5849802 6499780 8356860 9749670 11699604 14624505 19499340 29249010 58498020