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64544032 = 257436701
BaseRepresentation
bin1111011000110…
…1110100100000
311111110011202201
43312031310200
5113010402112
610223222544
71412421010
oct366156440
9144404681
1064544032
1133484983
1219747a54
13104ab347
148801c40
1559ee257
hex3d8dd20

64544032 has 48 divisors (see below), whose sum is σ = 148623552. Its totient is φ = 27014400.

The previous prime is 64543993. The next prime is 64544033. The reversal of 64544032 is 23044546.

64544032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64544033) 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, 6282 + ... + 12982.

It is an arithmetic number, because the mean of its divisors is an integer number (3096324).

Almost surely, 264544032 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 64544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74311776).

64544032 is an abundant number, since it is smaller than the sum of its proper divisors (84079520).

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

64544032 is a wasteful number, since it uses less digits than its factorization.

64544032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 64544032 is about 8033.9300469944. The cubic root of 64544032 is about 401.1302035919.

Adding to 64544032 its reverse (23044546), we get a palindrome (87588578).

The spelling of 64544032 in words is "sixty-four million, five hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 6701 9632 13402 26804 46907 53608 93814 107216 187628 214432 288143 375256 576286 750512 1152572 1501024 2017001 2305144 4034002 4610288 8068004 9220576 16136008 32272016 64544032