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82278066 = 23137183179
BaseRepresentation
bin1001110011101…
…11011010110010
312201211011021210
410321313122302
5132030344231
612055300550
72016231513
oct471673262
9181734253
1082278066
1142497802
122367a756
131407a260
14acdaa0a
157353a46
hex4e776b2

82278066 has 64 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 24521280.

The previous prime is 82278013. The next prime is 82278067. The reversal of 82278066 is 66087228.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (82278067) 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, 459565 + ... + 459743.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 282278066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82278066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

82278066 is an abundant number, since it is smaller than the sum of its proper divisors (100613454).

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

82278066 is a wasteful number, since it uses less digits than its factorization.

82278066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 82278066 is about 9070.7257703009. The cubic root of 82278066 is about 434.9386728182.

The spelling of 82278066 in words is "eighty-two million, two hundred seventy-eight thousand, sixty-six".

Divisors: 1 2 3 6 13 26 39 71 78 83 142 166 179 213 249 358 426 498 537 923 1074 1079 1846 2158 2327 2769 3237 4654 5538 5893 6474 6981 11786 12709 13962 14857 17679 25418 29714 35358 38127 44571 76254 76609 89142 153218 165217 193141 229827 330434 386282 459654 495651 579423 991302 1054847 1158846 2109694 3164541 6329082 13713011 27426022 41139033 82278066