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4286346920 = 235881121633
BaseRepresentation
bin1111111101111100…
…0111011010101000
3102001201111222120122
43333133013122220
532234301100140
61545155142412
7211135230152
oct37737073250
912051458518
104286346920
1118aa592979
129b75a4a08
1353404bc6b
142c93b1ad2
151a1488ab5
hexff7c76a8

4286346920 has 32 divisors (see below), whose sum is σ = 9655306920. Its totient is φ = 1712578560.

The previous prime is 4286346863. The next prime is 4286346923. The reversal of 4286346920 is 296436824.

It can be written as a sum of positive squares in 4 ways, for example, as 3878549284 + 407797636 = 62278^2 + 20194^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4286346923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25577 + ... + 96056.

Almost surely, 24286346920 is an apocalyptic number.

4286346920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4286346920 is an abundant number, since it is smaller than the sum of its proper divisors (5368960000).

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

4286346920 is a wasteful number, since it uses less digits than its factorization.

4286346920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122525 (or 122521 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 4286346920 is about 65470.1987166680. The cubic root of 4286346920 is about 1624.4104426999.

The spelling of 4286346920 in words is "four billion, two hundred eighty-six million, three hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 881 1762 3524 4405 7048 8810 17620 35240 121633 243266 486532 608165 973064 1216330 2432660 4865320 107158673 214317346 428634692 535793365 857269384 1071586730 2143173460 4286346920