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64709216 = 25111379179
BaseRepresentation
bin1111011011011…
…0001001100000
311111202120100122
43312312021200
5113031143331
610230535412
71414006415
oct366661140
9144676318
1064709216
1133587aa0
1219807568
13105385a0
14884610c
155a3317b
hex3db6260

64709216 has 96 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 26657280.

The previous prime is 64709209. The next prime is 64709219. The reversal of 64709216 is 61290746.

64709216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64709219) 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 15 ways as a sum of consecutive naturals, for example, 361415 + ... + 361593.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 264709216 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 64709216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

64709216 is an abundant number, since it is smaller than the sum of its proper divisors (87700384).

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

64709216 is a wasteful number, since it uses less digits than its factorization.

64709216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 64709216 is about 8044.2038760837. The cubic root of 64709216 is about 401.4721089253.

The spelling of 64709216 in words is "sixty-four million, seven hundred nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 79 88 104 143 158 176 179 208 286 316 352 358 416 572 632 716 869 1027 1144 1264 1432 1738 1969 2054 2288 2327 2528 2864 3476 3938 4108 4576 4654 5728 6952 7876 8216 9308 11297 13904 14141 15752 16432 18616 22594 25597 27808 28282 31504 32864 37232 45188 51194 56564 63008 74464 90376 102388 113128 155551 180752 183833 204776 226256 311102 361504 367666 409552 452512 622204 735332 819104 1244408 1470664 2022163 2488816 2941328 4044326 4977632 5882656 8088652 16177304 32354608 64709216