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86030442 = 232192310937
BaseRepresentation
bin1010010000010…
…11100001101010
312222212210120200
411020023201222
5134010433232
612311533030
72063150421
oct510134152
9188783520
1086030442
114461aa43
122498a176
1314a921b4
14b5d62b8
15784577c
hex520b86a

86030442 has 48 divisors (see below), whose sum is σ = 204759360. Its totient is φ = 25983936.

The previous prime is 86030431. The next prime is 86030449. The reversal of 86030442 is 24403068.

It is a super-3 number, since 3×860304423 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86030449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2398 + ... + 13334.

It is an arithmetic number, because the mean of its divisors is an integer number (4265820).

Almost surely, 286030442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86030442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102379680).

86030442 is an abundant number, since it is smaller than the sum of its proper divisors (118728918).

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

86030442 is a wasteful number, since it uses less digits than its factorization.

86030442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10987 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 86030442 is about 9275.2596729148. The cubic root of 86030442 is about 441.4525719370.

The spelling of 86030442 in words is "eighty-six million, thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2622 3933 7866 10937 21874 32811 65622 98433 196866 207803 251551 415606 503102 623409 754653 1246818 1509306 1870227 2263959 3740454 4527918 4779469 9558938 14338407 28676814 43015221 86030442