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82270854 = 232172973127
BaseRepresentation
bin1001110011101…
…01101010000110
312201210210101200
410321311222012
5132030131404
612055203330
72016201501
oct471655206
9181723350
1082270854
1142492346
1223676546
1314076ba3
14acd8138
157351839
hex4e75a86

82270854 has 96 divisors (see below), whose sum is σ = 199480320. Its totient is φ = 24385536.

The previous prime is 82270849. The next prime is 82270861. The reversal of 82270854 is 45807228.

It is a happy number.

It is a Curzon number.

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, 647739 + ... + 647865.

It is an arithmetic number, because the mean of its divisors is an integer number (2077920).

Almost surely, 282270854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82270854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99740160).

82270854 is an abundant number, since it is smaller than the sum of its proper divisors (117209466).

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

82270854 is a wasteful number, since it uses less digits than its factorization.

82270854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82270854 is about 9070.3282189786. The cubic root of 82270854 is about 434.9259644116.

The spelling of 82270854 in words is "eighty-two million, two hundred seventy thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 73 87 102 127 146 153 174 219 254 261 306 381 438 493 522 657 762 986 1143 1241 1314 1479 2117 2159 2286 2482 2958 3683 3723 4234 4318 4437 6351 6477 7366 7446 8874 9271 11049 11169 12702 12954 18542 19053 19431 22098 22338 27813 33147 35989 38106 38862 55626 62611 66294 71978 83439 107967 125222 157607 166878 187833 215934 268859 315214 323901 375666 472821 537718 563499 647802 806577 945642 1126998 1418463 1613154 2419731 2836926 4570603 4839462 9141206 13711809 27423618 41135427 82270854