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420382984 = 23713275657
BaseRepresentation
bin11001000011101…
…000100100001000
31002022000200001011
4121003220210020
51330104223414
6105414133304
713263124240
oct3103504410
91068020034
10420382984
111a6327a5a
12b8951234
136912a138
143db8cb20
1526d8cdc4
hex190e8908

420382984 has 32 divisors (see below), whose sum is σ = 901658880. Its totient is φ = 179996544.

The previous prime is 420382973. The next prime is 420382997. The reversal of 420382984 is 489283024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71484 + ... + 77140.

It is an arithmetic number, because the mean of its divisors is an integer number (28176840).

Almost surely, 2420382984 is an apocalyptic number.

It is an amenable number.

420382984 is an abundant number, since it is smaller than the sum of its proper divisors (481275896).

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

420382984 is a wasteful number, since it uses less digits than its factorization.

420382984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 420382984 is about 20503.2432556413. The cubic root of 420382984 is about 749.1147980046.

Adding to 420382984 its sum of digits (40), we get a palindrome (420383024).

The spelling of 420382984 in words is "four hundred twenty million, three hundred eighty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 1327 2654 5308 5657 9289 10616 11314 18578 22628 37156 39599 45256 74312 79198 158396 316792 7506839 15013678 30027356 52547873 60054712 105095746 210191492 420382984