Search a number
-
+
412773210 = 232514930781
BaseRepresentation
bin11000100110100…
…110101101011010
31001202201001101200
4120212212231122
51321132220320
6104543055030
713141341303
oct3046465532
91052631350
10412773210
111a1aaa693
12b62a1476
1367694505
143cb6b7aa
1526388290
hex189a6b5a

412773210 has 48 divisors (see below), whose sum is σ = 1080448200. Its totient is φ = 109330560.

The previous prime is 412773173. The next prime is 412773227. The reversal of 412773210 is 12377214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 186240609 + 226532601 = 13647^2 + 15051^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981 + ... + 28800.

Almost surely, 2412773210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412773210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540224100).

412773210 is an abundant number, since it is smaller than the sum of its proper divisors (667674990).

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

412773210 is a wasteful number, since it uses less digits than its factorization.

412773210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30943 (or 30940 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 412773210 is about 20316.8208635111. The cubic root of 412773210 is about 744.5670862935.

The spelling of 412773210 in words is "four hundred twelve million, seven hundred seventy-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 13410 30781 61562 92343 153905 184686 277029 307810 461715 554058 923430 1385145 2770290 4586369 9172738 13759107 22931845 27518214 41277321 45863690 68795535 82554642 137591070 206386605 412773210