Search a number
-
+
565304064 = 28313411381
BaseRepresentation
bin100001101100011…
…101101100000000
31110101201102101120
4201230131230000
52124204212224
6132032232240
720003001543
oct4154355400
91411642346
10565304064
11270110346
1213939b680
139016b360
145511485a
1534967779
hex21b1db00

565304064 has 144 divisors (see below), whose sum is σ = 1660987104. Its totient is φ = 169574400.

The previous prime is 565304057. The next prime is 565304081. The reversal of 565304064 is 460403565.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408654 + ... + 410034.

Almost surely, 2565304064 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 565304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830493552).

565304064 is an abundant number, since it is smaller than the sum of its proper divisors (1095683040).

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

565304064 is a wasteful number, since it uses less digits than its factorization.

565304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 565304064 is about 23776.1238220194. The cubic root of 565304064 is about 826.8512155901.

The spelling of 565304064 in words is "five hundred sixty-five million, three hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 312 328 384 416 492 533 624 656 768 832 984 1066 1248 1312 1381 1599 1664 1968 2132 2496 2624 2762 3198 3328 3936 4143 4264 4992 5248 5524 6396 7872 8286 8528 9984 10496 11048 12792 15744 16572 17056 17953 22096 25584 31488 33144 34112 35906 44192 51168 53859 56621 66288 68224 71812 88384 102336 107718 113242 132576 136448 143624 169863 176768 204672 215436 226484 265152 287248 339726 353536 409344 430872 452968 530304 574496 679452 736073 861744 905936 1060608 1148992 1358904 1472146 1723488 1811872 2208219 2297984 2717808 2944292 3446976 3623744 4416438 4595968 5435616 5888584 6893952 7247488 8832876 10871232 11777168 13787904 14494976 17665752 21742464 23554336 35331504 43484928 47108672 70663008 94217344 141326016 188434688 282652032 565304064