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86690376 = 23321577669
BaseRepresentation
bin1010010101011…
…00101001001000
320001010022211200
411022230221020
5134143043001
612334024200
72101566423
oct512545110
9201108750
1086690376
1144a30843
1225048060
1314c636a6
14b7289ba
157926086
hex52aca48

86690376 has 48 divisors (see below), whose sum is σ = 236312700. Its totient is φ = 28708992.

The previous prime is 86690341. The next prime is 86690377. The reversal of 86690376 is 67309668.

It can be written as a sum of positive squares in 2 ways, for example, as 84162276 + 2528100 = 9174^2 + 1590^2 .

It is not an unprimeable number, because it can be changed into a prime (86690377) 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 11 ways as a sum of consecutive naturals, for example, 7470 + ... + 15138.

Almost surely, 286690376 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 86690376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118156350).

86690376 is an abundant number, since it is smaller than the sum of its proper divisors (149622324).

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

86690376 is a wasteful number, since it uses less digits than its factorization.

86690376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 86690376 is about 9310.7666709031. The cubic root of 86690376 is about 442.5784826799.

The spelling of 86690376 in words is "eighty-six million, six hundred ninety thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 7669 11304 15338 23007 30676 46014 61352 69021 92028 138042 184056 276084 552168 1204033 2408066 3612099 4816132 7224198 9632264 10836297 14448396 21672594 28896792 43345188 86690376