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4404422360 = 2351315156093
BaseRepresentation
bin1000001101000011…
…00010011011011000
3102100221200211122002
410012201202123120
533010013003420
62005014020132
7214100654342
oct40641423330
912327624562
104404422360
1119601aa788
12a2b047648
13552650ba0
142dad4a292
151aba0e075
hex1068626d8

4404422360 has 64 divisors (see below), whose sum is σ = 10743122880. Its totient is φ = 1615449600.

The previous prime is 4404422333. The next prime is 4404422383. The reversal of 4404422360 is 632244044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50474 + ... + 106566.

It is an arithmetic number, because the mean of its divisors is an integer number (167861295).

Almost surely, 24404422360 is an apocalyptic number.

4404422360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404422360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371561440).

4404422360 is an abundant number, since it is smaller than the sum of its proper divisors (6338700520).

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

4404422360 is a wasteful number, since it uses less digits than its factorization.

4404422360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56268 (or 56264 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 4404422360 is about 66365.8222280113. The cubic root of 4404422360 is about 1639.1913473189.

The spelling of 4404422360 in words is "four billion, four hundred four million, four hundred twenty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 151 260 302 520 604 755 1208 1510 1963 3020 3926 6040 7852 9815 15704 19630 39260 56093 78520 112186 224372 280465 448744 560930 729209 1121860 1458418 2243720 2916836 3646045 5833672 7292090 8470043 14584180 16940086 29168360 33880172 42350215 67760344 84700430 110110559 169400860 220221118 338801720 440442236 550552795 880884472 1101105590 2202211180 4404422360