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389891232 = 2534359419
BaseRepresentation
bin10111001111010…
…100010010100000
31000011122112020000
4113033110102200
51244303004412
6102404420000
712443010063
oct2717242240
91004575200
10389891232
111900a1065
12aa6a7600
1362a12393
1439ad28da
15243684dc
hex173d44a0

389891232 has 120 divisors (see below), whose sum is σ = 1152597600. Its totient is φ = 129292416.

The previous prime is 389891231. The next prime is 389891269. The reversal of 389891232 is 232198983.

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

It is not an unprimeable number, because it can be changed into a prime (389891231) 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 19 ways as a sum of consecutive naturals, for example, 930319 + ... + 930737.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2389891232 is an apocalyptic number.

389891232 is a gapful number since it is divisible by the number (32) 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 389891232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576298800).

389891232 is an abundant number, since it is smaller than the sum of its proper divisors (762706368).

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

389891232 is a wasteful number, since it uses less digits than its factorization.

389891232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 783 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 389891232 is about 19745.6636252115. The cubic root of 389891232 is about 730.5464301830.

The spelling of 389891232 in words is "three hundred eighty-nine million, eight hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 359 419 432 648 718 838 864 1077 1257 1296 1436 1676 2154 2514 2592 2872 3231 3352 3771 4308 5028 5744 6462 6704 7542 8616 9693 10056 11313 11488 12924 13408 15084 17232 19386 20112 22626 25848 29079 30168 33939 34464 38772 40224 45252 51696 58158 60336 67878 77544 90504 103392 116316 120672 135756 150421 155088 181008 232632 271512 300842 310176 362016 451263 465264 543024 601684 902526 930528 1086048 1203368 1353789 1805052 2406736 2707578 3610104 4061367 4813472 5415156 7220208 8122734 10830312 12184101 14440416 16245468 21660624 24368202 32490936 43321248 48736404 64981872 97472808 129963744 194945616 389891232