Search a number
-
+
412717096 = 231129433761
BaseRepresentation
bin11000100110011…
…001000000101000
31001202121012102101
4120212121000220
51321123421341
6104541543144
713141015561
oct3046310050
91052535371
10412717096
111a1a71510
12b6274ab4
1367674acc
143cb55168
1526376831
hex18999028

412717096 has 64 divisors (see below), whose sum is σ = 893851200. Its totient is φ = 176870400.

The previous prime is 412717091. The next prime is 412717103. The reversal of 412717096 is 690717214.

It is not an unprimeable number, because it can be changed into a prime (412717091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107856 + ... + 111616.

It is an arithmetic number, because the mean of its divisors is an integer number (13966425).

Almost surely, 2412717096 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 412717096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446925600).

412717096 is an abundant number, since it is smaller than the sum of its proper divisors (481134104).

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

412717096 is a wasteful number, since it uses less digits than its factorization.

412717096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 412717096 is about 20315.4398426419. The cubic root of 412717096 is about 744.5333449800.

The spelling of 412717096 in words is "four hundred twelve million, seven hundred seventeen thousand, ninety-six".

Divisors: 1 2 4 8 11 22 29 43 44 58 86 88 116 172 232 319 344 473 638 946 1247 1276 1892 2494 2552 3761 3784 4988 7522 9976 13717 15044 27434 30088 41371 54868 82742 109069 109736 161723 165484 218138 323446 330968 436276 646892 872552 1199759 1293784 1778953 2399518 3557906 4689967 4799036 7115812 9379934 9598072 14231624 18759868 37519736 51589637 103179274 206358548 412717096