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4238183040 = 2735713127191
BaseRepresentation
bin1111110010011101…
…1000101010000000
3101221100220000011020
43330213120222000
532134433324130
61540314545440
7210011650530
oct37447305200
911840800136
104238183040
111885386713
129a3438280
13527087520
142c2c354c0
1519c122e10
hexfc9d8a80

4238183040 has 512 divisors, whose sum is σ = 16845373440. Its totient is φ = 882524160.

The previous prime is 4238183023. The next prime is 4238183041. The reversal of 4238183040 is 403818324.

It is a junction number, because it is equal to n+sod(n) for n = 4238182992 and 4238183010.

It is not an unprimeable number, because it can be changed into a prime (4238183041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22189345 + ... + 22189535.

It is an arithmetic number, because the mean of its divisors is an integer number (32901120).

Almost surely, 24238183040 is an apocalyptic number.

4238183040 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 4238183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8422686720).

4238183040 is an abundant number, since it is smaller than the sum of its proper divisors (12607190400).

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

4238183040 is a wasteful number, since it uses less digits than its factorization.

4238183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4238183040 is about 65101.3290186921. The cubic root of 4238183040 is about 1618.3032379385.

The spelling of 4238183040 in words is "four billion, two hundred thirty-eight million, one hundred eighty-three thousand, forty".