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64069056 = 263417727
BaseRepresentation
bin1111010001100…
…1110111000000
311110120001020000
43310121313000
5112400202211
610205120000
71405402152
oct364316700
9143501200
1064069056
1133190037
1219559000
13103730ac
14871aad2
155958656
hex3d19dc0

64069056 has 140 divisors (see below), whose sum is σ = 201369168. Its totient is φ = 20072448.

The previous prime is 64069021. The next prime is 64069123. The reversal of 64069056 is 65096046.

It is a happy number.

64069056 is a `hidden beast` number, since 640 + 6 + 9 + 0 + 5 + 6 = 666.

64069056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×640690562 = 8209687873462272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64069056.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 87765 + ... + 88491.

Almost surely, 264069056 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 64069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100684584).

64069056 is an abundant number, since it is smaller than the sum of its proper divisors (137300112).

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

64069056 is a wasteful number, since it uses less digits than its factorization.

64069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 64069056 is about 8004.3148363867. The cubic root of 64069056 is about 400.1438149536.

It can be divided in two parts, 640 and 69056, that added together give a palindrome (69696).

The spelling of 64069056 in words is "sixty-four million, sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 727 816 864 918 1088 1224 1296 1377 1454 1632 1728 1836 2181 2448 2592 2754 2908 3264 3672 4362 4896 5184 5508 5816 6543 7344 8724 9792 11016 11632 12359 13086 14688 17448 19629 22032 23264 24718 26172 29376 34896 37077 39258 44064 46528 49436 52344 58887 69792 74154 78516 88128 98872 104688 111231 117774 139584 148308 157032 197744 209376 222462 235548 296616 314064 333693 395488 418752 444924 471096 593232 628128 667386 790976 889848 942192 1001079 1186464 1256256 1334772 1779696 1884384 2002158 2372928 2669544 3559392 3768768 4004316 5339088 7118784 8008632 10678176 16017264 21356352 32034528 64069056