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65090466 = 235719253
BaseRepresentation
bin1111100001001…
…1001110100010
311112110221100000
43320103032202
5113130343331
610243040430
71420155060
oct370231642
9145427300
1065090466
1133818481
1219970116
131063cc8c
148905030
155aab0e6
hex3e133a2

65090466 has 144 divisors (see below), whose sum is σ = 179734464. Its totient is φ = 17286048.

The previous prime is 65090461. The next prime is 65090479. The reversal of 65090466 is 66409056.

It is a happy number.

65090466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 65090466.

It is not an unprimeable number, because it can be changed into a prime (65090461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1228096 + ... + 1228148.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 265090466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65090466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232).

65090466 is an abundant number, since it is smaller than the sum of its proper divisors (114643998).

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

65090466 is a wasteful number, since it uses less digits than its factorization.

65090466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 65090466 is about 8067.8662606664. The cubic root of 65090466 is about 402.2590221964.

It can be divided in two parts, 65090 and 466, that added together give a palindrome (65556).

The spelling of 65090466 in words is "sixty-five million, ninety thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 53 54 57 63 81 106 114 126 133 159 162 171 189 243 266 318 342 361 371 378 399 477 486 513 567 722 742 798 954 1007 1026 1083 1113 1134 1197 1431 1539 1701 2014 2166 2226 2394 2527 2862 3021 3078 3249 3339 3402 3591 4293 4617 5054 6042 6498 6678 7049 7182 7581 8586 9063 9234 9747 10017 10773 12879 14098 15162 18126 19133 19494 20034 21147 21546 22743 25758 27189 29241 30051 32319 38266 42294 45486 54378 57399 58482 60102 63441 64638 68229 81567 87723 90153 114798 126882 133931 136458 163134 172197 175446 180306 190323 204687 244701 267862 344394 380646 401793 409374 489402 516591 570969 614061 803586 1033182 1141938 1205379 1228122 1549773 1712907 2410758 3099546 3425814 3616137 4649319 7232274 9298638 10848411 21696822 32545233 65090466