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389685760 = 295292181
BaseRepresentation
bin10111001110100…
…010001000000000
31000011021002100221
4113032202020000
51244224421020
6102400152424
712441163042
oct2716421000
91004232327
10389685760
1118aa70752
12aa608714
136296c9b9
1439a7ba92
15243276aa
hex173a2200

389685760 has 120 divisors (see below), whose sum is σ = 973008036. Its totient is φ = 149667840.

The previous prime is 389685707. The next prime is 389685767. The reversal of 389685760 is 67586983.

It can be written as a sum of positive squares in 6 ways, for example, as 58736896 + 330948864 = 7664^2 + 18192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 389685698 and 389685707.

It is not an unprimeable number, because it can be changed into a prime (389685767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2152870 + ... + 2153050.

Almost surely, 2389685760 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 389685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486504018).

389685760 is an abundant number, since it is smaller than the sum of its proper divisors (583322276).

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

389685760 is an equidigital number, since it uses as much as digits as its factorization.

389685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 389685760 is about 19740.4599743775. The cubic root of 389685760 is about 730.4180754008.

The spelling of 389685760 in words is "three hundred eighty-nine million, six hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 181 232 256 290 320 362 464 512 580 640 724 841 905 928 1160 1280 1448 1682 1810 1856 2320 2560 2896 3364 3620 3712 4205 4640 5249 5792 6728 7240 7424 8410 9280 10498 11584 13456 14480 14848 16820 18560 20996 23168 26245 26912 28960 33640 37120 41992 46336 52490 53824 57920 67280 74240 83984 92672 104980 107648 115840 134560 152221 167968 209960 215296 231680 269120 304442 335936 419920 430592 463360 538240 608884 671872 761105 839840 1076480 1217768 1343744 1522210 1679680 2152960 2435536 2687488 3044420 3359360 4871072 6088840 6718720 9742144 12177680 13437440 19484288 24355360 38968576 48710720 77937152 97421440 194842880 389685760