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4820327240 = 235735772861
BaseRepresentation
bin1000111110101000…
…00101101101001000
3110102221021222212112
410133110011231020
534333000432430
62114152201452
7230311051121
oct43724055510
913387258775
104820327240
112053a49223
12b26399288
135ba870951
1433a291048
151d32b5195
hex11f505b48

4820327240 has 64 divisors (see below), whose sum is σ = 11017211760. Its totient is φ = 1897758720.

The previous prime is 4820327233. The next prime is 4820327269. The reversal of 4820327240 is 427230284.

It can be written as a sum of positive squares in 8 ways, for example, as 3939068644 + 881258596 = 62762^2 + 29686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4820327197 and 4820327206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683410 + ... + 1686270.

Almost surely, 24820327240 is an apocalyptic number.

4820327240 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 4820327240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508605880).

4820327240 is an abundant number, since it is smaller than the sum of its proper divisors (6196884520).

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

4820327240 is a wasteful number, since it uses less digits than its factorization.

4820327240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 4820327240 is about 69428.5765373308. The cubic root of 4820327240 is about 1689.2431796802.

The spelling of 4820327240 in words is "four billion, eight hundred twenty million, three hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 577 584 730 1154 1460 2308 2861 2885 2920 4616 5722 5770 11444 11540 14305 22888 23080 28610 42121 57220 84242 114440 168484 208853 210605 336968 417706 421210 835412 842420 1044265 1650797 1670824 1684840 2088530 3301594 4177060 6603188 8253985 8354120 13206376 16507970 33015940 66031880 120508181 241016362 482032724 602540905 964065448 1205081810 2410163620 4820327240