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389665040 = 24531712213
BaseRepresentation
bin10111001110011…
…101000100010000
31000011020000221112
4113032131010100
51244223240130
6102355512452
712441045452
oct2716350420
91004200845
10389665040
1118aa57126
12aa5b8728
136296343b
1439a742d2
1524321495
hex1739d110

389665040 has 80 divisors (see below), whose sum is σ = 948796416. Its totient is φ = 148646400.

The previous prime is 389664991. The next prime is 389665043. The reversal of 389665040 is 40566983.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (389665043) 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, 174974 + ... + 177186.

Almost surely, 2389665040 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 389665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474398208).

389665040 is an abundant number, since it is smaller than the sum of its proper divisors (559131376).

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

389665040 is a wasteful number, since it uses less digits than its factorization.

389665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 389665040 is about 19739.9351569350. The cubic root of 389665040 is about 730.4051294734.

The spelling of 389665040 in words is "three hundred eighty-nine million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 71 80 124 142 155 248 284 310 355 496 568 620 710 1136 1240 1420 2201 2213 2480 2840 4402 4426 5680 8804 8852 11005 11065 17608 17704 22010 22130 35216 35408 44020 44260 68603 88040 88520 137206 157123 176080 177040 274412 314246 343015 548824 628492 686030 785615 1097648 1256984 1372060 1571230 2513968 2744120 3142460 4870813 5488240 6284920 9741626 12569840 19483252 24354065 38966504 48708130 77933008 97416260 194832520 389665040