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64901824 = 261378007
BaseRepresentation
bin1111011110010…
…1001011000000
311112010100120021
43313211023000
5113103324244
610235023224
71415441101
oct367451300
9145110507
1064901824
11336a9779
121989ab14
13105a5160
1488963a8
155a70284
hex3de52c0

64901824 has 28 divisors (see below), whose sum is σ = 138698224. Its totient is φ = 29954304.

The previous prime is 64901821. The next prime is 64901831. The reversal of 64901824 is 42810946.

64901824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64901824.

It is not an unprimeable number, because it can be changed into a prime (64901821) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 38172 + ... + 39835.

It is an arithmetic number, because the mean of its divisors is an integer number (4953508).

Almost surely, 264901824 is an apocalyptic number.

64901824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

64901824 is an abundant number, since it is smaller than the sum of its proper divisors (73796400).

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

64901824 is a wasteful number, since it uses less digits than its factorization.

64901824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78032 (or 78022 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 64901824 is about 8056.1668304473. The cubic root of 64901824 is about 401.8700437169.

The spelling of 64901824 in words is "sixty-four million, nine hundred one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 78007 156014 312028 624056 1014091 1248112 2028182 2496224 4056364 4992448 8112728 16225456 32450912 64901824