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485777760 = 25351377849
BaseRepresentation
bin11100111101000…
…110000101100000
31020212002001210220
4130331012011200
51443324342020
6120111523040
715016020456
oct3475060540
91225061726
10485777760
1122a233026
12116829480
1379845780
14487329d6
152c9a9240
hex1cf46160

485777760 has 96 divisors (see below), whose sum is σ = 1647928800. Its totient is φ = 119574528.

The previous prime is 485777723. The next prime is 485777791. The reversal of 485777760 is 67777584.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4857777602 = 471960064221235200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 32685 + ... + 45164.

It is an arithmetic number, because the mean of its divisors is an integer number (17165925).

Almost surely, 2485777760 is an apocalyptic number.

485777760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

485777760 is an abundant number, since it is smaller than the sum of its proper divisors (1162151040).

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

485777760 is a wasteful number, since it uses less digits than its factorization.

485777760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77880 (or 77872 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 51.

The square root of 485777760 is about 22040.3666031216. The cubic root of 485777760 is about 786.1025576929.

The spelling of 485777760 in words is "four hundred eighty-five million, seven hundred seventy-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 77849 155698 233547 311396 389245 467094 622792 778490 934188 1012037 1167735 1245584 1556980 1868376 2024074 2335470 2491168 3036111 3113960 3736752 4048148 4670940 5060185 6072222 6227920 7473504 8096296 9341880 10120370 12144444 12455840 15180555 16192592 18683760 20240740 24288888 30361110 32385184 37367520 40481480 48577776 60722220 80962960 97155552 121444440 161925920 242888880 485777760