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4820001040 = 245181332873
BaseRepresentation
bin1000111110100101…
…10110000100010000
3110102220200102102001
410133102312010100
534332410013130
62114141203344
7230305222111
oct43722660420
913386612361
104820001040
112053846138
12b26260554
135ba78832a
1433a208208
151d324d6ca
hex11f4b6110

4820001040 has 40 divisors (see below), whose sum is σ = 11268450648. Its totient is φ = 1917342720.

The previous prime is 4820001029. The next prime is 4820001059. The reversal of 4820001040 is 401000284.

It can be written as a sum of positive squares in 4 ways, for example, as 608510224 + 4211490816 = 24668^2 + 64896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4820000999 and 4820001017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151957 + ... + 180916.

Almost surely, 24820001040 is an apocalyptic number.

4820001040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4820001040 is an abundant number, since it is smaller than the sum of its proper divisors (6448449608).

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

4820001040 is a wasteful number, since it uses less digits than its factorization.

4820001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333067 (or 333061 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4820001040 is about 69426.2273208043. The cubic root of 4820001040 is about 1689.2050741376.

The spelling of 4820001040 in words is "four billion, eight hundred twenty million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 14480 332873 665746 1331492 1664365 2662984 3328730 5325968 6657460 13314920 26629840 60250013 120500026 241000052 301250065 482000104 602500130 964000208 1205000260 2410000520 4820001040