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4282109960 = 235211507359
BaseRepresentation
bin1111111100111011…
…1101000000001000
3102001102112201120012
43333032331000020
532232210004320
61544524251052
7211054222412
oct37716750010
912042481505
104282109960
1118a8159657
129b60a0a88
135331c759b
142c89cb9b2
151a0ded4c5
hexff3bd008

4282109960 has 32 divisors (see below), whose sum is σ = 9680428800. Its totient is φ = 1704722880.

The previous prime is 4282109929. The next prime is 4282109969. The reversal of 4282109960 is 699012824.

It is not an unprimeable number, because it can be changed into a prime (4282109969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245240 + ... + 262119.

It is an arithmetic number, because the mean of its divisors is an integer number (302513400).

Almost surely, 24282109960 is an apocalyptic number.

4282109960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4282109960 is an abundant number, since it is smaller than the sum of its proper divisors (5398318840).

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

4282109960 is a wasteful number, since it uses less digits than its factorization.

4282109960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507581 (or 507577 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 4282109960 is about 65437.8327880745. The cubic root of 4282109960 is about 1623.8750348730.

The spelling of 4282109960 in words is "four billion, two hundred eighty-two million, one hundred nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 2110 4220 8440 507359 1014718 2029436 2536795 4058872 5073590 10147180 20294360 107052749 214105498 428210996 535263745 856421992 1070527490 2141054980 4282109960