Search a number
-
+
426104064 = 283420549
BaseRepresentation
bin11001011001011…
…101010100000000
31002200210022220000
4121121131110000
51333040312224
6110140520000
713362552621
oct3131352400
91080708800
10426104064
111a9585321
12ba850000
136a3811a9
144083ba48
152761d0c9
hex1965d500

426104064 has 90 divisors (see below), whose sum is σ = 1270627050. Its totient is φ = 142027776.

The previous prime is 426104053. The next prime is 426104069. The reversal of 426104064 is 460401624.

426104064 is a `hidden beast` number, since 4 + 2 + 610 + 40 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 424030464 + 2073600 = 20592^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426104069) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10462 + ... + 31010.

Almost surely, 2426104064 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 426104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635313525).

426104064 is an abundant number, since it is smaller than the sum of its proper divisors (844522986).

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

426104064 is an equidigital number, since it uses as much as digits as its factorization.

426104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20577 (or 20554 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 426104064 is about 20642.2882452503. The cubic root of 426104064 is about 752.4977841975.

Adding to 426104064 its reverse (460401624), we get a palindrome (886505688).

The spelling of 426104064 in words is "four hundred twenty-six million, one hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20549 20736 41098 61647 82196 123294 164392 184941 246588 328784 369882 493176 554823 657568 739764 986352 1109646 1315136 1479528 1664469 1972704 2219292 2630272 2959056 3328938 3945408 4438584 5260544 5918112 6657876 7890816 8877168 11836224 13315752 15781632 17754336 23672448 26631504 35508672 47344896 53263008 71017344 106526016 142034688 213052032 426104064