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82055946 = 23719312107
BaseRepresentation
bin1001110010000…
…01001100001010
312201101212121010
410321001030022
5132001242241
612050424350
72014315110
oct471011412
9181355533
1082055946
1142355935
12235920b6
131400011b
14ac7dab0
15730cd16
hex4e4130a

82055946 has 96 divisors (see below), whose sum is σ = 205908480. Its totient is φ = 21293280.

The previous prime is 82055929. The next prime is 82055959. The reversal of 82055946 is 64955028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766825 + ... + 766931.

It is an arithmetic number, because the mean of its divisors is an integer number (2144880).

Almost surely, 282055946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82055946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102954240).

82055946 is an abundant number, since it is smaller than the sum of its proper divisors (123852534).

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

82055946 is a wasteful number, since it uses less digits than its factorization.

82055946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 82055946 is about 9058.4737124970. The cubic root of 82055946 is about 434.5469295141.

The spelling of 82055946 in words is "eighty-two million, fifty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 107 114 133 186 214 217 266 321 399 434 589 642 651 749 798 961 1178 1302 1498 1767 1922 2033 2247 2883 3317 3534 4066 4123 4494 5766 6099 6634 6727 8246 9951 12198 12369 13454 14231 18259 19902 20181 23219 24738 28462 36518 40362 42693 46438 54777 63023 69657 85386 102827 109554 126046 127813 139314 189069 205654 255626 308481 378138 383439 441161 616962 719789 766878 882322 1323483 1439578 1953713 2159367 2646966 3907426 4318734 5861139 11722278 13675991 27351982 41027973 82055946