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499258890 = 234513172789
BaseRepresentation
bin11101110000100…
…001011000001010
31021210102222110000
4131300201120022
52010302241030
6121312503430
715241426164
oct3560413012
91253388400
10499258890
11236900659
1211b24ab76
137c585980
144a441934
152dc6d860
hex1dc2160a

499258890 has 160 divisors (see below), whose sum is σ = 1531308240. Its totient is φ = 115623936.

The previous prime is 499258883. The next prime is 499258891. The reversal of 499258890 is 98852994.

It can be written as a sum of positive squares in 8 ways, for example, as 222934761 + 276324129 = 14931^2 + 16623^2 .

It is a super-3 number, since 3×4992588903 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (499258891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177616 + ... + 180404.

Almost surely, 2499258890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499258890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765654120).

499258890 is an abundant number, since it is smaller than the sum of its proper divisors (1032049350).

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

499258890 is a wasteful number, since it uses less digits than its factorization.

499258890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 499258890 is about 22344.1019063197. The cubic root of 499258890 is about 793.3081858108.

The spelling of 499258890 in words is "four hundred ninety-nine million, two hundred fifty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 390 405 442 459 510 585 663 702 765 810 918 1053 1105 1170 1326 1377 1530 1755 1989 2106 2210 2295 2754 2789 3315 3510 3978 4590 5265 5578 5967 6630 6885 8367 9945 10530 11934 13770 13945 16734 17901 19890 25101 27890 29835 35802 36257 41835 47413 50202 59670 72514 75303 83670 89505 94826 108771 125505 142239 150606 179010 181285 217542 225909 237065 251010 284478 326313 362570 376515 426717 451818 474130 543855 616369 652626 711195 753030 853434 978939 1087710 1129545 1232738 1280151 1422390 1631565 1849107 1957878 2133585 2259090 2560302 2936817 3081845 3263130 3698214 3840453 4267170 4894695 5547321 5873634 6163690 6400755 7680906 9245535 9789390 11094642 12801510 14684085 16641963 18491070 19202265 27736605 29368170 33283926 38404530 49925889 55473210 83209815 99851778 166419630 249629445 499258890