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4852145280 = 273513918181
BaseRepresentation
bin1001000010011010…
…11101110010000000
3110112011011112000110
410201031131302000
534414122122110
62121250151320
7231145361103
oct44115356200
913464145013
104852145280
11206aa00624
12b34b82540
135c43312a8
143405b473a
151d5e9ca20
hex12135dc80

4852145280 has 128 divisors (see below), whose sum is σ = 15578337600. Its totient is φ = 1284526080.

The previous prime is 4852145279. The next prime is 4852145329. The reversal of 4852145280 is 825412584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 257790 + ... + 275970.

Almost surely, 24852145280 is an apocalyptic number.

4852145280 is a gapful number since it is divisible by the number (40) 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 4852145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789168800).

4852145280 is an abundant number, since it is smaller than the sum of its proper divisors (10726192320).

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

4852145280 is a wasteful number, since it uses less digits than its factorization.

4852145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18342 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 4852145280 is about 69657.3418958835. The cubic root of 4852145280 is about 1692.9518198652.

The spelling of 4852145280 in words is "four billion, eight hundred fifty-two million, one hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 278 320 384 417 480 556 640 695 834 960 1112 1390 1668 1920 2085 2224 2780 3336 4170 4448 5560 6672 8340 8896 11120 13344 16680 17792 18181 22240 26688 33360 36362 44480 53376 54543 66720 72724 88960 90905 109086 133440 145448 181810 218172 266880 272715 290896 363620 436344 545430 581792 727240 872688 1090860 1163584 1454480 1745376 2181720 2327168 2527159 2908960 3490752 4363440 5054318 5817920 6981504 7581477 8726880 10108636 11635840 12635795 15162954 17453760 20217272 25271590 30325908 34907520 37907385 40434544 50543180 60651816 75814770 80869088 101086360 121303632 151629540 161738176 202172720 242607264 303259080 323476352 404345440 485214528 606518160 808690880 970429056 1213036320 1617381760 2426072640 4852145280