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82025658 = 232112132897
BaseRepresentation
bin1001110001110…
…01110010111010
312201100100001100
410320321302322
5131444310113
612050032230
72014130601
oct470716272
9181310040
1082025658
1142335100
1223578676
1313cbc3c0
14ac72a38
157303d73
hex4e39cba

82025658 has 72 divisors (see below), whose sum is σ = 210446964. Its totient is φ = 22936320.

The previous prime is 82025653. The next prime is 82025687. The reversal of 82025658 is 85652028.

It can be written as a sum of positive squares in 2 ways, for example, as 68608089 + 13417569 = 8283^2 + 3663^2 .

It is not an unprimeable number, because it can be changed into a prime (82025651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26866 + ... + 29762.

Almost surely, 282025658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82025658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105223482).

82025658 is an abundant number, since it is smaller than the sum of its proper divisors (128421306).

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

82025658 is a wasteful number, since it uses less digits than its factorization.

82025658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 82025658 is about 9056.8017533785. The cubic root of 82025658 is about 434.4934571466.

The spelling of 82025658 in words is "eighty-two million, twenty-five thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 2897 3146 4719 5794 8691 9438 14157 17382 26073 28314 31867 37661 52146 63734 75322 95601 112983 191202 225966 286803 338949 350537 414271 573606 677898 701074 828542 1051611 1242813 2103222 2485626 3154833 3728439 4556981 6309666 7456878 9113962 13670943 27341886 41012829 82025658