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844006420 = 22556417481
BaseRepresentation
bin110010010011101…
…000010000010100
32011211010222011001
4302103220100110
53212031201140
6215425553044
726625636055
oct6223502024
92154128131
10844006420
113a3468574
121b67a5784
13105b201aa
148014272c
154e16ae9a
hex324e8414

844006420 has 24 divisors (see below), whose sum is σ = 1772964648. Its totient is φ = 337497600.

The previous prime is 844006357. The next prime is 844006421. The reversal of 844006420 is 24600448.

It can be written as a sum of positive squares in 4 ways, for example, as 491242896 + 352763524 = 22164^2 + 18782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844006421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109080 + ... + 116560.

It is an arithmetic number, because the mean of its divisors is an integer number (73873527).

Almost surely, 2844006420 is an apocalyptic number.

It is an amenable number.

844006420 is an abundant number, since it is smaller than the sum of its proper divisors (928958228).

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

844006420 is a wasteful number, since it uses less digits than its factorization.

844006420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 844006420 is about 29051.7885852145. The cubic root of 844006420 is about 945.0365018608.

Adding to 844006420 its reverse (24600448), we get a palindrome (868606868).

The spelling of 844006420 in words is "eight hundred forty-four million, six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 5641 7481 11282 14962 22564 28205 29924 37405 56410 74810 112820 149620 42200321 84400642 168801284 211001605 422003210 844006420