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4019027040 = 253257379103
BaseRepresentation
bin1110111110001101…
…0111110001100000
3101101002111201122100
43233203113301200
531212332331130
61502445410400
7201411111000
oct35743276140
911332451570
104019027040
1117826aa556
12941b69a00
134c0854012
142a1aa8000
15187c82c60
hexef8d7c60

4019027040 has 576 divisors, whose sum is σ = 16353792000. Its totient is φ = 898200576.

The previous prime is 4019026993. The next prime is 4019027057. The reversal of 4019027040 is 407209104.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4019026995 and 4019027013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39019629 + ... + 39019731.

It is an arithmetic number, because the mean of its divisors is an integer number (28392000).

Almost surely, 24019027040 is an apocalyptic number.

4019027040 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 4019027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896000).

4019027040 is an abundant number, since it is smaller than the sum of its proper divisors (12334764960).

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

4019027040 is a wasteful number, since it uses less digits than its factorization.

4019027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4019027040 is about 63395.7967060909. The cubic root of 4019027040 is about 1589.9140335627.

The spelling of 4019027040 in words is "four billion, nineteen million, twenty-seven thousand, forty".