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4062248640 = 2632519611217
BaseRepresentation
bin1111001000100000…
…1111111011000000
3101111002211121112100
43302020033323000
531304413424030
61511032030400
7202444354332
oct36210177300
911432747470
104062248640
1117a504058a
12954532400
134c97a8028
142a7719452
1518b96e360
hexf220fec0

4062248640 has 336 divisors, whose sum is σ = 14961229920. Its totient is φ = 1008599040.

The previous prime is 4062248591. The next prime is 4062248647. The reversal of 4062248640 is 468422604.

It is a happy number.

4062248640 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 2 + 4 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4062248595 and 4062248604.

It is not an unprimeable number, because it can be changed into a prime (4062248647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3337312 + ... + 3338528.

It is an arithmetic number, because the mean of its divisors is an integer number (44527470).

Almost surely, 24062248640 is an apocalyptic number.

4062248640 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 4062248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480614960).

4062248640 is an abundant number, since it is smaller than the sum of its proper divisors (10898981280).

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

4062248640 is a wasteful number, since it uses less digits than its factorization.

4062248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4062248640 is about 63735.7720593389. The cubic root of 4062248640 is about 1595.5931651894.

The spelling of 4062248640 in words is "four billion, sixty-two million, two hundred forty-eight thousand, six hundred forty".