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389771424 = 25327397487
BaseRepresentation
bin10111001110110…
…111000010100000
31000011102102212200
4113032313002200
51244240141144
6102402053200
712442000560
oct2716670240
91004372780
10389771424
1119001a049
12aa64a200
136299c9a3
1439aa0da0
1524342c69
hex173b70a0

389771424 has 144 divisors (see below), whose sum is σ = 1272555648. Its totient is φ = 110854656.

The previous prime is 389771419. The next prime is 389771443. The reversal of 389771424 is 424177983.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (338688) is a multiple of the sum of its prime divisors (896).

It is a self number, because there is not a number n which added to its sum of digits gives 389771424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800109 + ... + 800595.

It is an arithmetic number, because the mean of its divisors is an integer number (8837192).

Almost surely, 2389771424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389771424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636277824).

389771424 is an abundant number, since it is smaller than the sum of its proper divisors (882784224).

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

389771424 is a wasteful number, since it uses less digits than its factorization.

389771424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 896 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 389771424 is about 19742.6296120856. The cubic root of 389771424 is about 730.4715936935.

It can be divided in two parts, 38977 and 1424, that added together give a square (40401 = 2012).

The spelling of 389771424 in words is "three hundred eighty-nine million, seven hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 397 487 504 672 794 974 1008 1191 1461 1588 1948 2016 2382 2779 2922 3176 3409 3573 3896 4383 4764 5558 5844 6352 6818 7146 7792 8337 8766 9528 10227 11116 11688 12704 13636 14292 15584 16674 17532 19056 20454 22232 23376 25011 27272 28584 30681 33348 35064 38112 40908 44464 46752 50022 54544 57168 61362 66696 70128 81816 88928 100044 109088 114336 122724 133392 140256 163632 193339 200088 245448 266784 327264 386678 400176 490896 580017 773356 800352 981792 1160034 1353373 1546712 1740051 2320068 2706746 3093424 3480102 4060119 4640136 5413492 6186848 6960204 8120238 9280272 10826984 12180357 13920408 16240476 18560544 21653968 24360714 27840816 32480952 43307936 48721428 55681632 64961904 97442856 129923808 194885712 389771424