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63868464 = 24321161661
BaseRepresentation
bin1111001110100…
…0111000110000
311110011212001200
43303220320300
5112322242324
610200531200
71403605302
oct363507060
9143155050
1063868464
1133063360
1219480b00
13103029ba
1486a7972
155918ec9
hex3ce8e30

63868464 has 120 divisors (see below), whose sum is σ = 198488784. Its totient is φ = 19008000.

The previous prime is 63868457. The next prime is 63868477. The reversal of 63868464 is 46486836.

63868464 is a `hidden beast` number, since 638 + 6 + 8 + 4 + 6 + 4 = 666.

63868464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 96294 + ... + 96954.

Almost surely, 263868464 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 63868464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99244392).

63868464 is an abundant number, since it is smaller than the sum of its proper divisors (134620320).

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

63868464 is a wasteful number, since it uses less digits than its factorization.

63868464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 63868464 is about 7991.7747716011. The cubic root of 63868464 is about 399.7257787163.

The spelling of 63868464 in words is "sixty-three million, eight hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 488 528 549 661 671 732 792 976 1098 1322 1342 1464 1584 1983 2013 2196 2644 2684 2928 3966 4026 4392 5288 5368 5949 6039 7271 7932 8052 8784 10576 10736 11898 12078 14542 15864 16104 21813 23796 24156 29084 31728 32208 40321 43626 47592 48312 58168 65439 80642 87252 95184 96624 116336 120963 130878 161284 174504 241926 261756 322568 349008 362889 443531 483852 523512 645136 725778 887062 967704 1047024 1330593 1451556 1774124 1935408 2661186 2903112 3548248 3991779 5322372 5806224 7096496 7983558 10644744 15967116 21289488 31934232 63868464