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86103248 = 24711471487
BaseRepresentation
bin1010010000111…
…01010011010000
320000000111110012
411020131103100
5134020300443
612313254052
72063602610
oct510352320
9200014405
1086103248
114466a710
1224a04328
1314ab938a
14b614a40
15785c118
hex521d4d0

86103248 has 80 divisors (see below), whose sum is σ = 212557824. Its totient is φ = 32810880.

The previous prime is 86103247. The next prime is 86103253. The reversal of 86103248 is 84230168.

It is a super-2 number, since 2×861032482 = 14827538632299008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86103247) 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 15 ways as a sum of consecutive naturals, for example, 57161 + ... + 58647.

Almost surely, 286103248 is an apocalyptic number.

86103248 is a gapful number since it is divisible by the number (88) 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 86103248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278912).

86103248 is an abundant number, since it is smaller than the sum of its proper divisors (126454576).

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

86103248 is a wasteful number, since it uses less digits than its factorization.

86103248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 86103248 is about 9279.1835847773. The cubic root of 86103248 is about 441.5770679210.

Subtracting from 86103248 its reverse (84230168), we obtain a triangular number (1873080 = T1935).

The spelling of 86103248 in words is "eighty-six million, one hundred three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 112 154 176 188 308 329 376 517 616 658 752 1034 1232 1316 1487 2068 2632 2974 3619 4136 5264 5948 7238 8272 10409 11896 14476 16357 20818 23792 28952 32714 41636 57904 65428 69889 83272 114499 130856 139778 166544 228998 261712 279556 457996 489223 559112 768779 915992 978446 1118224 1537558 1831984 1956892 3075116 3913784 5381453 6150232 7827568 10762906 12300464 21525812 43051624 86103248