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3905245440 = 2833517323
BaseRepresentation
bin1110100011000101…
…0101000100000000
3101002011102000122000
43220301111010000
530444220323230
61443302544000
7165530016135
oct35061250400
911064360560
103905245440
111724455778
1290ba38000
134a30c6625
1429092a58c
1517cca9b60
hexe8c55100

3905245440 has 576 divisors, whose sum is σ = 15364339200. Its totient is φ = 937525248.

The previous prime is 3905245433. The next prime is 3905245493. The reversal of 3905245440 is 445425093.

It is a happy number.

3905245440 is a `hidden beast` number, since 3 + 90 + 5 + 24 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 3905245395 and 3905245404.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 169793269 + ... + 169793291.

It is an arithmetic number, because the mean of its divisors is an integer number (26674200).

Almost surely, 23905245440 is an apocalyptic number.

3905245440 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 3905245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682169600).

3905245440 is an abundant number, since it is smaller than the sum of its proper divisors (11459093760).

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

3905245440 is an equidigital number, since it uses as much as digits as its factorization.

3905245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3905245440 is about 62491.9630032535. The cubic root of 3905245440 is about 1574.7662963898.

The spelling of 3905245440 in words is "three billion, nine hundred five million, two hundred forty-five thousand, four hundred forty".