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4443287040 = 29325316221
BaseRepresentation
bin1000010001101011…
…10010111000000000
3102110122211100221200
410020311302320000
533044440141130
62012523021200
7215052213423
oct41065627000
912418740850
104443287040
111980135355
12a4006a800
1355a70aa3a
143021859ba
151b0139760
hex108d72e00

4443287040 has 240 divisors, whose sum is σ = 15887304576. Its totient is φ = 1146470400.

The previous prime is 4443286979. The next prime is 4443287087. The reversal of 4443287040 is 407823444.

It is a happy number.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4443286986 and 4443287004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711130 + ... + 717350.

Almost surely, 24443287040 is an apocalyptic number.

4443287040 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 4443287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943652288).

4443287040 is an abundant number, since it is smaller than the sum of its proper divisors (11444017536).

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

4443287040 is a wasteful number, since it uses less digits than its factorization.

4443287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4443287040 is about 66657.9855681223. The cubic root of 4443287040 is about 1643.9986502555.

The spelling of 4443287040 in words is "four billion, four hundred forty-three million, two hundred eighty-seven thousand, forty".