Search a number
-
+
560790648 = 233311376379
BaseRepresentation
bin100001011011001…
…111110001111000
31110002020010011000
4201123033301320
52122030300043
6131351405000
716616433105
oct4133176170
91402203130
10560790648
11268608350
12137983760
138c24abb2
145469baac
15343752d3
hex216cfc78

560790648 has 128 divisors (see below), whose sum is σ = 1745568000. Its totient is φ = 165317760.

The previous prime is 560790631. The next prime is 560790653. The reversal of 560790648 is 846097065.

It is a super-3 number, since 3×5607906483 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84723 + ... + 91101.

It is an arithmetic number, because the mean of its divisors is an integer number (13637250).

Almost surely, 2560790648 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 560790648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872784000).

560790648 is an abundant number, since it is smaller than the sum of its proper divisors (1184777352).

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

560790648 is a wasteful number, since it uses less digits than its factorization.

560790648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 560790648 is about 23681.0187280868. The cubic root of 560790648 is about 824.6447925403.

The spelling of 560790648 in words is "five hundred sixty million, seven hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 333 396 407 444 594 666 792 814 888 999 1188 1221 1332 1628 1998 2376 2442 2664 3256 3663 3996 4884 6379 7326 7992 9768 10989 12758 14652 19137 21978 25516 29304 38274 43956 51032 57411 70169 76548 87912 114822 140338 153096 172233 210507 229644 236023 280676 344466 421014 459288 472046 561352 631521 688932 708069 842028 944092 1263042 1377864 1416138 1684056 1888184 1894563 2124207 2526084 2596253 2832276 3789126 4248414 5052168 5192506 5664552 6372621 7578252 7788759 8496828 10385012 12745242 15156504 15577518 16993656 20770024 23366277 25490484 31155036 46732554 50980968 62310072 70098831 93465108 140197662 186930216 280395324 560790648