Search a number
-
+
459685856 = 257431193
BaseRepresentation
bin11011011001100…
…011111111100000
31012000222110110002
4123121203333200
51420134421411
6113340355132
714251160000
oct3331437740
91160873402
10459685856
11216531873
12109b45aa8
137430b586
14450a0000
152a55333b
hex1b663fe0

459685856 has 120 divisors (see below), whose sum is σ = 1095482304. Its totient is φ = 189665280.

The previous prime is 459685847. The next prime is 459685859. The reversal of 459685856 is 658586954.

It is a super-2 number, since 2×4596858562 = 422622172412905472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459685859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2381696 + ... + 2381888.

Almost surely, 2459685856 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 459685856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547741152).

459685856 is an abundant number, since it is smaller than the sum of its proper divisors (635796448).

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

459685856 is an equidigital number, since it uses as much as digits as its factorization.

459685856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 233 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 56.

The square root of 459685856 is about 21440.2858189904. The cubic root of 459685856 is about 771.7684970791.

The spelling of 459685856 in words is "four hundred fifty-nine million, six hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 193 196 217 224 248 343 386 392 434 496 686 772 784 868 992 1351 1372 1519 1544 1568 1736 2401 2702 2744 3038 3088 3472 4802 5404 5488 5983 6076 6176 6944 9457 9604 10633 10808 10976 11966 12152 18914 19208 21266 21616 23932 24304 37828 38416 41881 42532 43232 47864 48608 66199 74431 75656 76832 83762 85064 95728 132398 148862 151312 167524 170128 191456 264796 293167 297724 302624 335048 340256 463393 529592 586334 595448 670096 926786 1059184 1172668 1190896 1340192 1853572 2052169 2118368 2345336 2381792 3707144 4104338 4690672 7414288 8208676 9381344 14365183 14828576 16417352 28730366 32834704 57460732 65669408 114921464 229842928 459685856