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4271279040 = 26355721959
BaseRepresentation
bin1111111010010110…
…1000101111000000
3102000200011110100000
43332211220233000
532221421412130
61543500200000
7210563162400
oct37645505700
912020143300
104271279040
1118a2031186
129b2539000
13530ba4762
142c73ac800
1519eeae260
hexfe968bc0

4271279040 has 1008 divisors, whose sum is σ = 18971971200. Its totient is φ = 909232128.

The previous prime is 4271279029. The next prime is 4271279041. The reversal of 4271279040 is 409721724.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 4271278986 and 4271279004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4271279041) 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 143 ways as a sum of consecutive naturals, for example, 72394531 + ... + 72394589.

It is an arithmetic number, because the mean of its divisors is an integer number (18821400).

Almost surely, 24271279040 is an apocalyptic number.

4271279040 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 4271279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485985600).

4271279040 is an abundant number, since it is smaller than the sum of its proper divisors (14700692160).

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

4271279040 is a wasteful number, since it uses less digits than its factorization.

4271279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4271279040 is about 65355.0230663260. The cubic root of 4271279040 is about 1622.5047672270.

The spelling of 4271279040 in words is "four billion, two hundred seventy-one million, two hundred seventy-nine thousand, forty".