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64245024 = 2532376029
BaseRepresentation
bin1111010100010…
…0110100100000
311110212222121100
43311010310200
5112421320044
610212554400
71410034164
oct365046440
9143788540
1064245024
11332a0268
1219622a00
131040520c
148764ca4
155990869
hex3d44d20

64245024 has 72 divisors (see below), whose sum is σ = 187665660. Its totient is φ = 20832768.

The previous prime is 64245019. The next prime is 64245059. The reversal of 64245024 is 42054246.

It can be written as a sum of positive squares in 2 ways, for example, as 49956624 + 14288400 = 7068^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7642 + ... + 13670.

Almost surely, 264245024 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 64245024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93832830).

64245024 is an abundant number, since it is smaller than the sum of its proper divisors (123420636).

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

64245024 is a wasteful number, since it uses less digits than its factorization.

64245024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 64245024 is about 8015.2993705787. The cubic root of 64245024 is about 400.5098166082.

The spelling of 64245024 in words is "sixty-four million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 6029 10656 12058 18087 24116 36174 48232 54261 72348 96464 108522 144696 192928 217044 223073 289392 434088 446146 578784 669219 868176 892292 1338438 1736352 1784584 2007657 2676876 3569168 4015314 5353752 7138336 8030628 10707504 16061256 21415008 32122512 64245024