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64227744 = 2532731859
BaseRepresentation
bin1111010100000…
…0100110100000
311110212002220100
43311000212200
5112420241434
610212342400
71406632620
oct365004640
9143762810
1064227744
1133289289
1219614a00
13103ca3a9
14875c880
15598a699
hex3d409a0

64227744 has 72 divisors (see below), whose sum is σ = 208746720. Its totient is φ = 18350208.

The previous prime is 64227727. The next prime is 64227749. The reversal of 64227744 is 44772246.

It is a happy number.

64227744 is a `hidden beast` number, since 642 + 2 + 7 + 7 + 4 + 4 = 666.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64227699 and 64227708.

It is not an unprimeable number, because it can be changed into a prime (64227749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13914 + ... + 17945.

It is an arithmetic number, because the mean of its divisors is an integer number (2899260).

Almost surely, 264227744 is an apocalyptic number.

It is an amenable number.

64227744 is an abundant number, since it is smaller than the sum of its proper divisors (144518976).

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

64227744 is a wasteful number, since it uses less digits than its factorization.

64227744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31882 (or 31871 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 64227744 is about 8014.2213595583. The cubic root of 64227744 is about 400.4739049801.

The spelling of 64227744 in words is "sixty-four million, two hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 31859 63718 95577 127436 191154 223013 254872 286731 382308 446026 509744 573462 669039 764616 892052 1019488 1146924 1338078 1529232 1784104 2007117 2293848 2676156 3058464 3568208 4014234 4587696 5352312 7136416 8028468 9175392 10704624 16056936 21409248 32113872 64227744