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389192384 = 26723107353
BaseRepresentation
bin10111001100101…
…001101011000000
31000010100000120202
4113030221223000
51244113124014
6102341424332
712434036450
oct2714515300
91003300522
10389192384
1118a763aa9
12aa40b0a8
1362829269
143998dd60
152427b3de
hex17329ac0

389192384 has 112 divisors (see below), whose sum is σ = 932249088. Its totient is φ = 157605888.

The previous prime is 389192351. The next prime is 389192387. The reversal of 389192384 is 483291983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389192387) by changing a digit.

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, 1102352 + ... + 1102704.

Almost surely, 2389192384 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 389192384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466124544).

389192384 is an abundant number, since it is smaller than the sum of its proper divisors (543056704).

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

389192384 is a wasteful number, since it uses less digits than its factorization.

389192384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The square root of 389192384 is about 19727.9594484579. The cubic root of 389192384 is about 730.1096876524.

The spelling of 389192384 in words is "three hundred eighty-nine million, one hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 107 112 161 184 214 224 322 353 368 428 448 644 706 736 749 856 1288 1412 1472 1498 1712 2461 2471 2576 2824 2996 3424 4922 4942 5152 5648 5992 6848 8119 9844 9884 10304 11296 11984 16238 17227 19688 19768 22592 23968 32476 34454 37771 39376 39536 47936 56833 64952 68908 75542 78752 79072 113666 129904 137816 151084 157504 158144 227332 259808 264397 275632 302168 454664 519616 528794 551264 604336 868733 909328 1057588 1102528 1208672 1737466 1818656 2115176 2417344 3474932 3637312 4230352 6081131 6949864 8460704 12162262 13899728 16921408 24324524 27799456 48649048 55598912 97298096 194596192 389192384