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58428240 = 24351361307
BaseRepresentation
bin1101111011100…
…0101101010000
311001221110110220
43132320231100
5104424200430
65444153040
71306426503
oct336705520
9131843426
1058428240
112aa88002
1217698780
13c149730
147a8d13a
1551e2110
hex37b8b50

58428240 has 160 divisors (see below), whose sum is σ = 198903936. Its totient is φ = 14100480.

The previous prime is 58428229. The next prime is 58428247. The reversal of 58428240 is 4282485.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58428247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190167 + ... + 190473.

Almost surely, 258428240 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 58428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99451968).

58428240 is an abundant number, since it is smaller than the sum of its proper divisors (140475696).

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

58428240 is a wasteful number, since it uses less digits than its factorization.

58428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 58428240 is about 7643.8367329503. The cubic root of 58428240 is about 388.0380095261.

The spelling of 58428240 in words is "fifty-eight million, four hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 156 183 195 208 240 244 260 305 307 312 366 390 488 520 610 614 624 732 780 793 915 921 976 1040 1220 1228 1464 1535 1560 1586 1830 1842 2379 2440 2456 2928 3070 3120 3172 3660 3684 3965 3991 4605 4758 4880 4912 6140 6344 7320 7368 7930 7982 9210 9516 11895 11973 12280 12688 14640 14736 15860 15964 18420 18727 19032 19955 23790 23946 24560 31720 31928 36840 37454 38064 39910 47580 47892 56181 59865 63440 63856 73680 74908 79820 93635 95160 95784 112362 119730 149816 159640 187270 190320 191568 224724 239460 243451 280905 299632 319280 374540 449448 478920 486902 561810 730353 749080 898896 957840 973804 1123620 1217255 1460706 1498160 1947608 2247240 2434510 2921412 3651765 3895216 4494480 4869020 5842824 7303530 9738040 11685648 14607060 19476080 29214120 58428240