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64090656 = 2533710597
BaseRepresentation
bin1111010001111…
…1001000100000
311110121010212000
43310133020200
5112401400111
610205404000
71405522140
oct364371040
9143533760
1064090656
11331a5293
1219569600
131037cb86
148724920
15595ec56
hex3d1f220

64090656 has 96 divisors (see below), whose sum is σ = 213655680. Its totient is φ = 18309888.

The previous prime is 64090651. The next prime is 64090669. The reversal of 64090656 is 65609046.

It is a happy number.

64090656 is a `hidden beast` number, since 640 + 9 + 0 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×640906562 = 8215224373020672, 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 64090656.

It is not an unprimeable number, because it can be changed into a prime (64090651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750 + ... + 11346.

It is an arithmetic number, because the mean of its divisors is an integer number (2225580).

Almost surely, 264090656 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 64090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106827840).

64090656 is an abundant number, since it is smaller than the sum of its proper divisors (149565024).

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

64090656 is a wasteful number, since it uses less digits than its factorization.

64090656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10623 (or 10609 counting only the distinct ones).

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

The square root of 64090656 is about 8005.6639949476. The cubic root of 64090656 is about 400.1887775602.

It can be divided in two parts, 64090 and 656, that added together give a palindrome (64746).

The spelling of 64090656 in words is "sixty-four million, ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 10597 21194 31791 42388 63582 74179 84776 95373 127164 148358 169552 190746 222537 254328 286119 296716 339104 381492 445074 508656 572238 593432 667611 762984 890148 1017312 1144476 1186864 1335222 1525968 1780296 2002833 2288952 2373728 2670444 3051936 3560592 4005666 4577904 5340888 7121184 8011332 9155808 10681776 16022664 21363552 32045328 64090656