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58425840 = 24335112459
BaseRepresentation
bin1101111011100…
…0000111110000
311001221100012000
43132320013300
5104424111330
65444134000
71306416504
oct336700760
9131840160
1058425840
112aa86220
1217697300
13c148605
147a8c304
1551e1560
hex37b81f0

58425840 has 160 divisors (see below), whose sum is σ = 219628800. Its totient is φ = 14158080.

The previous prime is 58425839. The next prime is 58425901. The reversal of 58425840 is 4852485.

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

It is a junction number, because it is equal to n+sod(n) for n = 58425795 and 58425804.

It is a congruent number.

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, 22531 + ... + 24989.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 258425840 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 58425840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109814400).

58425840 is an abundant number, since it is smaller than the sum of its proper divisors (161202960).

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

58425840 is a wasteful number, since it uses less digits than its factorization.

58425840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 58425840 is about 7643.6797421137. The cubic root of 58425840 is about 388.0326964333.

The spelling of 58425840 in words is "fifty-eight million, four hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2459 2640 2970 3960 4752 4918 5940 7377 7920 9836 11880 12295 14754 19672 22131 23760 24590 27049 29508 36885 39344 44262 49180 54098 59016 66393 73770 81147 88524 98360 108196 110655 118032 132786 135245 147540 162294 177048 196720 216392 221310 243441 265572 270490 295080 324588 331965 354096 405735 432784 442620 486882 531144 540980 590160 649176 663930 730323 811470 885240 973764 1062288 1081960 1217205 1298352 1327860 1460646 1622940 1770480 1947528 2163920 2434410 2655720 2921292 3245880 3651615 3895056 4868820 5311440 5842584 6491760 7303230 9737640 11685168 14606460 19475280 29212920 58425840