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64316672 = 287191889
BaseRepresentation
bin1111010101011…
…0010100000000
311111000121212222
43311112110000
5112431113142
610214310212
71410453110
oct365262400
9144017788
1064316672
113333a082
1219658368
131042ba04
148783040
1559a6bd2
hex3d56500

64316672 has 72 divisors (see below), whose sum is σ = 154526400. Its totient is φ = 26099712.

The previous prime is 64316663. The next prime is 64316683. The reversal of 64316672 is 27661346.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 33104 + ... + 34992.

It is an arithmetic number, because the mean of its divisors is an integer number (2146200).

Almost surely, 264316672 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 64316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77263200).

64316672 is an abundant number, since it is smaller than the sum of its proper divisors (90209728).

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

64316672 is a wasteful number, since it uses less digits than its factorization.

64316672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1917 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 64316672 is about 8019.7675776795. The cubic root of 64316672 is about 400.6586481944.

The spelling of 64316672 in words is "sixty-four million, three hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 1889 2128 2432 3778 4256 4864 7556 8512 13223 15112 17024 26446 30224 34048 35891 52892 60448 71782 105784 120896 143564 211568 241792 251237 287128 423136 483584 502474 574256 846272 1004948 1148512 1692544 2009896 2297024 3385088 4019792 4594048 8039584 9188096 16079168 32158336 64316672