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406424046 = 237431391619
BaseRepresentation
bin11000001110011…
…000100111101110
31001022202110222110
4120032120213232
51313021032141
6104155024450
713033355520
oct3016304756
91038673873
10406424046
11199463446
12b413b126
1366280602
143bd97a10
1525a31e16
hex183989ee

406424046 has 64 divisors (see below), whose sum is σ = 958003200. Its totient is φ = 112535136.

The previous prime is 406424033. The next prime is 406424071. The reversal of 406424046 is 640424604.

It is a Curzon number.

It is a congruent number.

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, 250225 + ... + 251843.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2406424046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406424046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479001600).

406424046 is an abundant number, since it is smaller than the sum of its proper divisors (551579154).

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

406424046 is a wasteful number, since it uses less digits than its factorization.

406424046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813.

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 406424046 is about 20159.9614582965. The cubic root of 406424046 is about 740.7297682763.

The spelling of 406424046 in words is "four hundred six million, four hundred twenty-four thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 139 258 278 301 417 602 834 903 973 1619 1806 1946 2919 3238 4857 5838 5977 9714 11333 11954 17931 22666 33999 35862 41839 67998 69617 83678 125517 139234 208851 225041 251034 417702 450082 487319 675123 974638 1350246 1461957 1575287 2923914 3150574 4725861 9451722 9676763 19353526 29030289 58060578 67737341 135474682 203212023 406424046