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412471296 = 2123267167
BaseRepresentation
bin11000100101011…
…101000000000000
31001202010201020200
4120211131000000
51321043040141
6104532405200
713135643136
oct3045350000
91052121220
10412471296
111a1913876
12b6176800
13675b9c73
143cacd756
1526328ab6
hex1895d000

412471296 has 156 divisors (see below), whose sum is σ = 1216461792. Its totient is φ = 134627328.

The previous prime is 412471277. The next prime is 412471309. The reversal of 412471296 is 692174214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 412471296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2469805 + ... + 2469971.

It is an arithmetic number, because the mean of its divisors is an integer number (7797832).

Almost surely, 2412471296 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 412471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608230896).

412471296 is an abundant number, since it is smaller than the sum of its proper divisors (803990496).

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

412471296 is a wasteful number, since it uses less digits than its factorization.

412471296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 412471296 is about 20309.3893556650. The cubic root of 412471296 is about 744.3855095412.

The spelling of 412471296 in words is "four hundred twelve million, four hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 167 192 201 256 268 288 334 384 402 501 512 536 576 603 668 768 804 1002 1024 1072 1152 1206 1336 1503 1536 1608 2004 2048 2144 2304 2412 2672 3006 3072 3216 4008 4096 4288 4608 4824 5344 6012 6144 6432 8016 8576 9216 9648 10688 11189 12024 12288 12864 16032 17152 18432 19296 21376 22378 24048 25728 32064 33567 34304 36864 38592 42752 44756 48096 51456 64128 67134 68608 77184 85504 89512 96192 100701 102912 128256 134268 137216 154368 171008 179024 192384 201402 205824 256512 268536 274432 308736 342016 358048 384768 402804 411648 513024 537072 617472 684032 716096 769536 805608 823296 1026048 1074144 1234944 1432192 1539072 1611216 2052096 2148288 2469888 2864384 3078144 3222432 4296576 5728768 6156288 6444864 8593152 11457536 12889728 17186304 22915072 25779456 34372608 45830144 51558912 68745216 103117824 137490432 206235648 412471296