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85672482 = 237419313
BaseRepresentation
bin1010001101101…
…00001000100010
312222012121112220
411012310020202
5133413004412
612300131510
72060130000
oct506641042
9188177486
1085672482
11443a6005
1224836b96
131499829c
14b541a70
1577c468c
hex51b4222

85672482 has 80 divisors (see below), whose sum is σ = 211083360. Its totient is φ = 23115456.

The previous prime is 85672481. The next prime is 85672519. The reversal of 85672482 is 28427658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85672481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273558 + ... + 273870.

It is an arithmetic number, because the mean of its divisors is an integer number (2638542).

Almost surely, 285672482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85672482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105541680).

85672482 is an abundant number, since it is smaller than the sum of its proper divisors (125410878).

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

85672482 is a wasteful number, since it uses less digits than its factorization.

85672482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 85672482 is about 9255.9430637834. The cubic root of 85672482 is about 440.8394477286.

The spelling of 85672482 in words is "eighty-five million, six hundred seventy-two thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 313 343 399 626 686 798 931 939 1029 1862 1878 2058 2191 2401 2793 4382 4802 5586 5947 6517 6573 7203 11894 13034 13146 14406 15337 17841 19551 30674 35682 39102 41629 45619 46011 83258 91238 92022 107359 124887 136857 214718 249774 273714 291403 322077 582806 644154 751513 874209 1503026 1748418 2039821 2254539 4079642 4509078 6119463 12238926 14278747 28557494 42836241 85672482