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64044832 = 254797439
BaseRepresentation
bin1111010001001…
…1111100100000
311110111210222211
43310103330200
5112343413312
610204411504
71405241425
oct364237440
9143453884
1064044832
1133173915
1219546b94
1310365067
148711d4c
1559513a7
hex3d13f20

64044832 has 48 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 30947328.

The previous prime is 64044823. The next prime is 64044833. The reversal of 64044832 is 23844046.

64044832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64044794 and 64044803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64044833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145669 + ... + 146107.

It is an arithmetic number, because the mean of its divisors is an integer number (2716560).

Almost surely, 264044832 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 64044832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65197440).

64044832 is an abundant number, since it is smaller than the sum of its proper divisors (66350048).

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

64044832 is a wasteful number, since it uses less digits than its factorization.

64044832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 64044832 is about 8002.8015094715. The cubic root of 64044832 is about 400.0933781996.

Adding to 64044832 its reverse (23844046), we get a palindrome (87888878).

It can be divided in two parts, 6404 and 4832, that added together give a square (11236 = 1062).

The spelling of 64044832 in words is "sixty-four million, forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 94 97 188 194 376 388 439 752 776 878 1504 1552 1756 3104 3512 4559 7024 9118 14048 18236 20633 36472 41266 42583 72944 82532 85166 145888 165064 170332 330128 340664 660256 681328 1362656 2001401 4002802 8005604 16011208 32022416 64044832