Search a number
-
+
461414226 = 237131316451
BaseRepresentation
bin11011100000001…
…001111101010010
31012011020021022210
4123200021331102
51421110223401
6113441412550
714301645660
oct3340117522
91164207283
10461414226
11217502379
1210a63a156
1374795190
14453cdc30
152a7954d6
hex1b809f52

461414226 has 64 divisors (see below), whose sum is σ = 1144636416. Its totient is φ = 120744000.

The previous prime is 461414203. The next prime is 461414243. The reversal of 461414226 is 622414164.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 461414193 and 461414202.

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, 68301 + ... + 74751.

It is an arithmetic number, because the mean of its divisors is an integer number (17884944).

Almost surely, 2461414226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461414226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572318208).

461414226 is an abundant number, since it is smaller than the sum of its proper divisors (683222190).

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

461414226 is a wasteful number, since it uses less digits than its factorization.

461414226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607.

The product of its digits is 9216, while the sum is 30.

The square root of 461414226 is about 21480.5546017788. The cubic root of 461414226 is about 772.7345432077.

The spelling of 461414226 in words is "four hundred sixty-one million, four hundred fourteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 131 182 262 273 393 546 786 917 1703 1834 2751 3406 5109 5502 6451 10218 11921 12902 19353 23842 35763 38706 45157 71526 83863 90314 135471 167726 251589 270942 503178 587041 845081 1174082 1690162 1761123 2535243 3522246 5070486 5915567 10986053 11831134 17746701 21972106 32958159 35493402 65916318 76902371 153804742 230707113 461414226