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64276812 = 223223149521
BaseRepresentation
bin1111010100110…
…0100101001100
311110221121012200
43311030211030
5112423324222
610213401500
71410225645
oct365144514
9143847180
1064276812
1133312136
1219639290
1310416822
1487726cc
155999eac
hex3d4c94c

64276812 has 72 divisors (see below), whose sum is σ = 171007200. Its totient is φ = 20317440.

The previous prime is 64276811. The next prime is 64276819. The reversal of 64276812 is 21867246.

64276812 is a `hidden beast` number, since 642 + 7 + 6 + 8 + 1 + 2 = 666.

64276812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (64276811) 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 23 ways as a sum of consecutive naturals, for example, 123112 + ... + 123632.

It is an arithmetic number, because the mean of its divisors is an integer number (2375100).

Almost surely, 264276812 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 64276812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85503600).

64276812 is an abundant number, since it is smaller than the sum of its proper divisors (106730388).

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

64276812 is a wasteful number, since it uses less digits than its factorization.

64276812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 64276812 is about 8017.2820831002. The cubic root of 64276812 is about 400.5758622256.

The spelling of 64276812 in words is "sixty-four million, two hundred seventy-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 149 207 276 298 414 447 521 596 828 894 1042 1341 1563 1788 2084 2682 3126 3427 4689 5364 6252 6854 9378 10281 11983 13708 18756 20562 23966 30843 35949 41124 47932 61686 71898 77629 107847 123372 143796 155258 215694 232887 310516 431388 465774 698661 931548 1397322 1785467 2794644 3570934 5356401 7141868 10712802 16069203 21425604 32138406 64276812