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82461414 = 2372416841
BaseRepresentation
bin1001110101001…
…00001011100110
312202011110210110
410322210023212
5132102231124
612103233450
72020624200
oct472441346
9182143713
1082461414
1142602532
1223748886
1314112849
14ad47770
15738d029
hex4ea42e6

82461414 has 48 divisors (see below), whose sum is σ = 196556976. Its totient is φ = 22982400.

The previous prime is 82461403. The next prime is 82461439. The reversal of 82461414 is 41416428.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8634 + ... + 15474.

It is an arithmetic number, because the mean of its divisors is an integer number (4094937).

Almost surely, 282461414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82461414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98278488).

82461414 is an abundant number, since it is smaller than the sum of its proper divisors (114095562).

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

82461414 is a wasteful number, since it uses less digits than its factorization.

82461414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6894 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 82461414 is about 9080.8267244783. The cubic root of 82461414 is about 435.2615048047.

The spelling of 82461414 in words is "eighty-two million, four hundred sixty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 6027 6841 12054 13682 20523 41046 47887 95774 143661 280481 287322 335209 560962 670418 841443 1005627 1682886 1963367 2011254 3926734 5890101 11780202 13743569 27487138 41230707 82461414