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86150484 = 22327192947
BaseRepresentation
bin1010010001010…
…00110101010100
320000002220020200
411020220311110
5134023303414
612314300500
72064160410
oct510506524
9200086220
1086150484
11446a2152
1224a27730
1314b04a24
14b627d40
15786b109
hex5228d54

86150484 has 108 divisors (see below), whose sum is σ = 262944864. Its totient is φ = 23294304.

The previous prime is 86150461. The next prime is 86150501. The reversal of 86150484 is 48405168.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 90499 + ... + 91445.

Almost surely, 286150484 is an apocalyptic number.

86150484 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86150484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131472432).

86150484 is an abundant number, since it is smaller than the sum of its proper divisors (176794380).

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

86150484 is a wasteful number, since it uses less digits than its factorization.

86150484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 86150484 is about 9281.7285028167. The cubic root of 86150484 is about 441.6578024723.

The spelling of 86150484 in words is "eighty-six million, one hundred fifty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 361 399 532 684 722 798 947 1083 1197 1444 1596 1894 2166 2394 2527 2841 3249 3788 4332 4788 5054 5682 6498 6629 7581 8523 10108 11364 12996 13258 15162 17046 17993 19887 22743 26516 30324 34092 35986 39774 45486 53979 59661 71972 79548 90972 107958 119322 125951 161937 215916 238644 251902 323874 341867 377853 503804 647748 683734 755706 1025601 1133559 1367468 1511412 2051202 2267118 2393069 3076803 4102404 4534236 4786138 6153606 7179207 9572276 12307212 14358414 21537621 28716828 43075242 86150484