[go: up one dir, main page]

Search a number
-
+
86238528 = 2633114489
BaseRepresentation
bin1010010001111…
…10010101000000
320000021101000120
411020332111000
5134034113103
612320220240
72065005165
oct510762500
9200241016
1086238528
1144752312
1224a6a680
1314b35b1c
14b64c06c
157887253
hex523e540

86238528 has 56 divisors (see below), whose sum is σ = 235549440. Its totient is φ = 27816960.

The previous prime is 86238499. The next prime is 86238541. The reversal of 86238528 is 82583268.

It is a self number, because there is not a number n which added to its sum of digits gives 86238528.

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 7 ways as a sum of consecutive naturals, for example, 1293 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (4206240).

Almost surely, 286238528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117774720).

86238528 is an abundant number, since it is smaller than the sum of its proper divisors (149310912).

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

86238528 is a wasteful number, since it uses less digits than its factorization.

86238528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535 (or 14525 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 86238528 is about 9286.4701582464. The cubic root of 86238528 is about 441.8082062720.

The spelling of 86238528 in words is "eighty-six million, two hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 14489 28978 43467 57956 86934 115912 173868 231824 347736 449159 463648 695472 898318 927296 1347477 1390944 1796636 2694954 2781888 3593272 5389908 7186544 10779816 14373088 21559632 28746176 43119264 86238528