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78063264 = 253510039
BaseRepresentation
bin1001010011100…
…10011010100000
312102220000200000
410221302122200
5124441011024
611425100000
71635345456
oct451623240
9172800600
1078063264
11400790a4
1222187600
13132329a6
14a5209d6
156cbecc9
hex4a726a0

78063264 has 72 divisors (see below), whose sum is σ = 230237280. Its totient is φ = 26018496.

The previous prime is 78063263. The next prime is 78063319. The reversal of 78063264 is 46236087.

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 not an unprimeable number, because it can be changed into a prime (78063263) by changing a digit.

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, 2757 + ... + 12795.

It is an arithmetic number, because the mean of its divisors is an integer number (3197740).

Almost surely, 278063264 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 78063264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115118640).

78063264 is an abundant number, since it is smaller than the sum of its proper divisors (152174016).

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

78063264 is a wasteful number, since it uses less digits than its factorization.

78063264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10064 (or 10044 counting only the distinct ones).

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

The square root of 78063264 is about 8835.3417590946. The cubic root of 78063264 is about 427.3813521152.

The spelling of 78063264 in words is "seventy-eight million, sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 10039 20078 30117 40156 60234 80312 90351 120468 160624 180702 240936 271053 321248 361404 481872 542106 722808 813159 963744 1084212 1445616 1626318 2168424 2439477 2891232 3252636 4336848 4878954 6505272 8673696 9757908 13010544 19515816 26021088 39031632 78063264