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58241040 = 243511131697
BaseRepresentation
bin1101111000101…
…1000000010000
311001120221200120
43132023000100
5104402203130
65440150240
71305016644
oct336130020
9131527616
1058241040
112a96a3a0
1217608380
13c0b2470
147a40c24
1551a6910
hex378b010

58241040 has 160 divisors (see below), whose sum is σ = 212236416. Its totient is φ = 13025280.

The previous prime is 58241039. The next prime is 58241069. The reversal of 58241040 is 4014285.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 58241040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33472 + ... + 35168.

Almost surely, 258241040 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 58241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106118208).

58241040 is an abundant number, since it is smaller than the sum of its proper divisors (153995376).

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

58241040 is a wasteful number, since it uses less digits than its factorization.

58241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 58241040 is about 7631.5817495458. The cubic root of 58241040 is about 387.6231505905.

The spelling of 58241040 in words is "fifty-eight million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1697 1716 2145 2288 2640 2860 3120 3394 3432 4290 5091 5720 6788 6864 8485 8580 10182 11440 13576 16970 17160 18667 20364 22061 25455 27152 33940 34320 37334 40728 44122 50910 56001 66183 67880 74668 81456 88244 93335 101820 110305 112002 132366 135760 149336 176488 186670 203640 220610 224004 242671 264732 280005 298672 330915 352976 373340 407280 441220 448008 485342 529464 560010 661830 728013 746680 882440 896016 970684 1058928 1120020 1213355 1323660 1456026 1493360 1764880 1941368 2240040 2426710 2647320 2912052 3640065 3882736 4480080 4853420 5294640 5824104 7280130 9706840 11648208 14560260 19413680 29120520 58241040