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425816406 = 23341892161
BaseRepresentation
bin11001011000010…
…111000101010110
31002200020201022000
4121120113011112
51333002111111
6110130420130
713360244151
oct3130270526
91080221260
10425816406
111a93a9194
12ba731646
136a2b0292
14407a4c98
15275b2c56
hex19617156

425816406 has 64 divisors (see below), whose sum is σ = 980683200. Its totient is φ = 136857600.

The previous prime is 425816389. The next prime is 425816407. The reversal of 425816406 is 604618524.

425816406 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 1 + 640 + 6 = 666.

It is a super-2 number, since 2×4258164062 = 362639223237513672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425816407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195966 + ... + 198126.

It is an arithmetic number, because the mean of its divisors is an integer number (15323175).

Almost surely, 2425816406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425816406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490341600).

425816406 is an abundant number, since it is smaller than the sum of its proper divisors (554866794).

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

425816406 is a wasteful number, since it uses less digits than its factorization.

425816406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 425816406 is about 20635.3193820692. The cubic root of 425816406 is about 752.3284118504.

The spelling of 425816406 in words is "four hundred twenty-five million, eight hundred sixteen thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 41 54 82 89 123 178 246 267 369 534 738 801 1107 1602 2161 2214 2403 3649 4322 4806 6483 7298 10947 12966 19449 21894 32841 38898 58347 65682 88601 98523 116694 177202 192329 197046 265803 384658 531606 576987 797409 1153974 1594818 1730961 2392227 3461922 4784454 5192883 7885489 10385766 15770978 23656467 47312934 70969401 141938802 212908203 425816406