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3826229760 = 29325712339
BaseRepresentation
bin1110010000001111…
…1010001000000000
3100212122201121111100
43210003322020000
530314003323020
61431401214400
7163550262543
oct34403721000
910778647440
103826229760
111693897061
128a9491400
1348c91c2a2
1428423c85a
15175d9ca90
hexe40fa200

3826229760 has 240 divisors, whose sum is σ = 13443693120. Its totient is φ = 1005527040.

The previous prime is 3826229749. The next prime is 3826229761. The reversal of 3826229760 is 679226283.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3826229761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1634671 + ... + 1637009.

It is an arithmetic number, because the mean of its divisors is an integer number (56015388).

Almost surely, 23826229760 is an apocalyptic number.

3826229760 is a gapful number since it is divisible by the number (30) 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 3826229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721846560).

3826229760 is an abundant number, since it is smaller than the sum of its proper divisors (9617463360).

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

3826229760 is a wasteful number, since it uses less digits than its factorization.

3826229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3826229760 is about 61856.5256056303. The cubic root of 3826229760 is about 1564.0729858253.

It can be divided in two parts, 3826 and 229760, that added together give a triangular number (233586 = T683).

The spelling of 3826229760 in words is "three billion, eight hundred twenty-six million, two hundred twenty-nine thousand, seven hundred sixty".