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64839060 = 2232511213229
BaseRepresentation
bin1111011101010…
…1110110010100
311112000011110200
43313111312110
5113044322220
610233420500
71415060106
oct367256624
9145004420
1064839060
1133666600
121986a730
1310582710
14887b576
155a5b890
hex3dd5d94

64839060 has 216 divisors, whose sum is σ = 233829960. Its totient is φ = 14446080.

The previous prime is 64839031. The next prime is 64839067. The reversal of 64839060 is 6093846.

64839060 is a `hidden beast` number, since 648 + 3 + 9 + 0 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 55621764 = 3036^2 + 7458^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64839067) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283026 + ... + 283254.

Almost surely, 264839060 is an apocalyptic number.

64839060 is a gapful number since it is divisible by the number (60) 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 64839060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116914980).

64839060 is an abundant number, since it is smaller than the sum of its proper divisors (168990900).

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

64839060 is a wasteful number, since it uses less digits than its factorization.

64839060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64839060 is about 8052.2704872601. The cubic root of 64839060 is about 401.7404577004.

The spelling of 64839060 in words is "sixty-four million, eight hundred thirty-nine thousand, sixty".