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86482064 = 24311131543
BaseRepresentation
bin1010010011110…
…01110010010000
320000201202002102
411021321302100
5134114411224
612325335532
72100041204
oct511716220
9200652072
1086482064
11448a9289
1224b675a8
1314bbc926
14b6b2b04
1578d44ae
hex5279c90

86482064 has 40 divisors (see below), whose sum is σ = 174607872. Its totient is φ = 41448960.

The previous prime is 86482063. The next prime is 86482069. The reversal of 86482064 is 46028468.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86482063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55277 + ... + 56819.

Almost surely, 286482064 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 86482064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87303936).

86482064 is an abundant number, since it is smaller than the sum of its proper divisors (88125808).

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

86482064 is a wasteful number, since it uses less digits than its factorization.

86482064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 86482064 is about 9299.5733235455. The cubic root of 86482064 is about 442.2237014541.

It can be divided in two parts, 864 and 82064, that added together give a palindrome (82928).

The spelling of 86482064 in words is "eighty-six million, four hundred eighty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 31 62 113 124 226 248 452 496 904 1543 1808 3086 3503 6172 7006 12344 14012 24688 28024 47833 56048 95666 174359 191332 348718 382664 697436 765328 1394872 2789744 5405129 10810258 21620516 43241032 86482064