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65238516 = 223272979113
BaseRepresentation
bin1111100011011…
…1010111110100
311112202110102100
43320313113310
5113200113031
610250142100
71421342520
oct370672764
9145673370
1065238516
1133909732
1219a21930
1310692495
148942d80
155ad9de6
hex3e375f4

65238516 has 144 divisors (see below), whose sum is σ = 199180800. Its totient is φ = 17611776.

The previous prime is 65238461. The next prime is 65238517. The reversal of 65238516 is 61583256.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65238517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577276 + ... + 577388.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 265238516 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 65238516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400).

65238516 is an abundant number, since it is smaller than the sum of its proper divisors (133942284).

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

65238516 is a wasteful number, since it uses less digits than its factorization.

65238516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 65238516 is about 8077.0363376674. The cubic root of 65238516 is about 402.5637742138.

65238516 divided by its sum of digits (36) gives a palindrome (1812181).

The spelling of 65238516 in words is "sixty-five million, two hundred thirty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 79 84 87 113 116 126 158 174 203 226 237 252 261 316 339 348 406 452 474 522 553 609 678 711 791 812 948 1017 1044 1106 1218 1356 1422 1582 1659 1827 2034 2212 2291 2373 2436 2844 3164 3277 3318 3654 4068 4582 4746 4977 6554 6636 6873 7119 7308 8927 9164 9492 9831 9954 13108 13746 14238 16037 17854 19662 19908 20619 22939 26781 27492 28476 29493 32074 35708 39324 41238 45878 48111 53562 58986 62489 64148 68817 80343 82476 91756 96222 107124 117972 124978 137634 144333 160686 187467 192444 206451 249956 258883 275268 288666 321372 374934 412902 517766 562401 577332 749868 776649 825804 1035532 1124802 1553298 1812181 2249604 2329947 3106596 3624362 4659894 5436543 7248724 9319788 10873086 16309629 21746172 32619258 65238516