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82059054 = 23711267241
BaseRepresentation
bin1001110010000…
…01111100101110
312201102000212020
410321001330232
5132001342204
612050451010
72014330140
oct471017456
9181360766
1082059054
1142358200
1223593a66
131400166c
14ac80c90
15730dbd9
hex4e41f2e

82059054 has 96 divisors (see below), whose sum is σ = 210110208. Its totient is φ = 20908800.

The previous prime is 82059037. The next prime is 82059059. The reversal of 82059054 is 45095028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82059059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340374 + ... + 340614.

It is an arithmetic number, because the mean of its divisors is an integer number (2188648).

Almost surely, 282059054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82059054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105055104).

82059054 is an abundant number, since it is smaller than the sum of its proper divisors (128051154).

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

82059054 is a wasteful number, since it uses less digits than its factorization.

82059054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 82059054 is about 9058.6452629519. The cubic root of 82059054 is about 434.5524158311.

The spelling of 82059054 in words is "eighty-two million, fifty-nine thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 121 134 154 201 231 241 242 363 402 462 469 482 723 726 737 847 938 1407 1446 1474 1687 1694 2211 2541 2651 2814 3374 4422 5061 5082 5159 5302 7953 8107 10122 10318 15477 15906 16147 16214 18557 24321 29161 30954 32294 37114 48441 48642 55671 56749 58322 87483 96882 111342 113029 113498 170247 174966 177617 204127 226058 339087 340494 355234 408254 532851 612381 678174 1065702 1224762 1243319 1953787 2486638 3729957 3907574 5861361 7459914 11722722 13676509 27353018 41029527 82059054