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86666436 = 22379907
BaseRepresentation
bin1010010101001…
…10110011000100
320001002010000000
411022212303010
5134141311221
612333321300
72101436553
oct512466304
9201063000
1086666436
1144a1485a
1225036230
1314c5581c
14b71dd9a
15791de26
hex52a6cc4

86666436 has 48 divisors (see below), whose sum is σ = 227487680. Its totient is φ = 28885896.

The previous prime is 86666423. The next prime is 86666473. The reversal of 86666436 is 63466668.

It is a super-2 number, since 2×866664362 = 15022142257884192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86666391 and 86666400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795 + ... + 13701.

Almost surely, 286666436 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 86666436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113743840).

86666436 is an abundant number, since it is smaller than the sum of its proper divisors (140821244).

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

86666436 is an equidigital number, since it uses as much as digits as its factorization.

86666436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932 (or 9912 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 86666436 is about 9309.4809737171. The cubic root of 86666436 is about 442.5377388095.

The spelling of 86666436 in words is "eighty-six million, six hundred sixty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 9907 19814 29721 39628 59442 89163 118884 178326 267489 356652 534978 802467 1069956 1604934 2407401 3209868 4814802 7222203 9629604 14444406 21666609 28888812 43333218 86666436