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64794240 = 2732571607
BaseRepresentation
bin1111011100101…
…0111010000000
311111220212222200
43313022322000
5113041403430
610232433200
71414512330
oct367127200
9144825880
1064794240
1133635965
1219848800
13105681b4
1488690c0
155a4d460
hex3dcae80

64794240 has 192 divisors, whose sum is σ = 255864960. Its totient is φ = 14800896.

The previous prime is 64794239. The next prime is 64794253. The reversal of 64794240 is 4249746.

64794240 is a `hidden beast` number, since 647 + 9 + 4 + 2 + 4 + 0 = 666.

64794240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 64794195 and 64794204.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39517 + ... + 41123.

It is an arithmetic number, because the mean of its divisors is an integer number (1332630).

Almost surely, 264794240 is an apocalyptic number.

64794240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127932480).

64794240 is an abundant number, since it is smaller than the sum of its proper divisors (191070720).

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

64794240 is a wasteful number, since it uses less digits than its factorization.

64794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 64794240 is about 8049.4869401720. The cubic root of 64794240 is about 401.6478686664.

The spelling of 64794240 in words is "sixty-four million, seven hundred ninety-four thousand, two hundred forty".