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8483005840 = 2455910317449
BaseRepresentation
bin1111110011010000…
…00110010110010000
3210220012021100100111
413321220012112100
5114333122141330
63521432131104
7420134234311
oct77150062620
923805240314
108483005840
113663487931
121788b36a94
13a52627caa
145a68b8608
15349b0832a
hex1f9a06590

8483005840 has 80 divisors (see below), whose sum is σ = 20253168000. Its totient is φ = 3303115776.

The previous prime is 8483005823. The next prime is 8483005849. The reversal of 8483005840 is 485003848.

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

It is a super-2 number, since 2×84830058402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8483005793 and 8483005802.

It is not an unprimeable number, because it can be changed into a prime (8483005849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477436 + ... + 494884.

It is an arithmetic number, because the mean of its divisors is an integer number (253164600).

Almost surely, 28483005840 is an apocalyptic number.

8483005840 is a gapful number since it is divisible by the number (80) 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 8483005840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126584000).

8483005840 is an abundant number, since it is smaller than the sum of its proper divisors (11770162160).

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

8483005840 is a wasteful number, since it uses less digits than its factorization.

8483005840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17624 (or 17618 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 8483005840 is about 92103.2346880391. The cubic root of 8483005840 is about 2039.4665592281.

The spelling of 8483005840 in words is "eight billion, four hundred eighty-three million, five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 103 118 206 236 295 412 472 515 590 824 944 1030 1180 1648 2060 2360 4120 4720 6077 8240 12154 17449 24308 30385 34898 48616 60770 69796 87245 97232 121540 139592 174490 243080 279184 348980 486160 697960 1029491 1395920 1797247 2058982 3594494 4117964 5147455 7188988 8235928 8986235 10294910 14377976 16471856 17972470 20589820 28755952 35944940 41179640 71889880 82359280 106037573 143779760 212075146 424150292 530187865 848300584 1060375730 1696601168 2120751460 4241502920 8483005840