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58259040 = 2535722477
BaseRepresentation
bin1101111000111…
…1011001100000
311001121212101020
43132033121200
5104403242130
65440405440
71305123300
oct336173140
9131555336
1058259040
112a981974
1217616880
13c0ba708
147a47600
1551abe10
hex378f660

58259040 has 144 divisors (see below), whose sum is σ = 213563952. Its totient is φ = 13310976.

The previous prime is 58259027. The next prime is 58259059. The reversal of 58259040 is 4095285.

It is a junction number, because it is equal to n+sod(n) for n = 58258992 and 58259010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22282 + ... + 24758.

It is an arithmetic number, because the mean of its divisors is an integer number (1483083).

Almost surely, 258259040 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 58259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106781976).

58259040 is an abundant number, since it is smaller than the sum of its proper divisors (155304912).

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

58259040 is a wasteful number, since it uses less digits than its factorization.

58259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 58259040 is about 7632.7609683521. The cubic root of 58259040 is about 387.6630794679.

The spelling of 58259040 in words is "fifty-eight million, two hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2477 2940 3360 3920 4704 4954 5880 7431 7840 9908 11760 12385 14862 17339 19816 23520 24770 29724 34678 37155 39632 49540 52017 59448 69356 74310 79264 86695 99080 104034 118896 121373 138712 148620 173390 198160 208068 237792 242746 260085 277424 297240 346780 364119 396320 416136 485492 520170 554848 594480 606865 693560 728238 832272 970984 1040340 1188960 1213730 1387120 1456476 1664544 1820595 1941968 2080680 2427460 2774240 2912952 3641190 3883936 4161360 4854920 5825904 7282380 8322720 9709840 11651808 14564760 19419680 29129520 58259040