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385487760 = 24357269853
BaseRepresentation
bin10110111110100…
…001001110010000
3222212100210210110
4112332201032100
51242141102020
6102130201320
712360410010
oct2676411620
9885323713
10385487760
11188663729
12a9123240
1361b2cc88
14392a7c40
1523c988e0
hex16fa1390

385487760 has 160 divisors (see below), whose sum is σ = 1372412160. Its totient is φ = 87681024.

The previous prime is 385487737. The next prime is 385487771. The reversal of 385487760 is 67784583.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451494 + ... + 452346.

It is an arithmetic number, because the mean of its divisors is an integer number (8577576).

Almost surely, 2385487760 is an apocalyptic number.

385487760 is a gapful number since it is divisible by the number (30) 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 385487760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686206080).

385487760 is an abundant number, since it is smaller than the sum of its proper divisors (986924400).

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

385487760 is a wasteful number, since it uses less digits than its factorization.

385487760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 385487760 is about 19633.8422118545. The cubic root of 385487760 is about 727.7857216639.

The spelling of 385487760 in words is "three hundred eighty-five million, four hundred eighty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 269 280 336 420 538 560 807 840 853 1076 1345 1614 1680 1706 1883 2152 2559 2690 3228 3412 3766 4035 4265 4304 5118 5380 5649 5971 6456 6824 7532 8070 8530 9415 10236 10760 11298 11942 12795 12912 13648 15064 16140 17060 17913 18830 20472 21520 22596 23884 25590 28245 29855 30128 32280 34120 35826 37660 40944 45192 47768 51180 56490 59710 64560 68240 71652 75320 89565 90384 95536 102360 112980 119420 143304 150640 179130 204720 225960 229457 238840 286608 358260 451920 458914 477680 688371 716520 917828 1147285 1376742 1433040 1606199 1835656 2294570 2753484 3212398 3441855 3671312 4589140 4818597 5506968 6424796 6883710 8030995 9178280 9637194 11013936 12849592 13767420 16061990 18356560 19274388 24092985 25699184 27534840 32123980 38548776 48185970 55069680 64247960 77097552 96371940 128495920 192743880 385487760