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3850727040 = 27345591259
BaseRepresentation
bin1110010110000101…
…0110111010000000
3100221100211012110000
43211201112322000
530341241231130
61434034240000
7164265432306
oct34541267200
910840735400
103850727040
1116a66a9246
128b5726000
13494a18714
142875b8276
151780db260
hexe5856e80

3850727040 has 320 divisors, whose sum is σ = 13995828000. Its totient is φ = 1008654336.

The previous prime is 3850727029. The next prime is 3850727047. The reversal of 3850727040 is 407270583.

3850727040 is a `hidden beast` number, since 385 + 0 + 7 + 270 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 3850726986 and 3850727004.

It is not an unprimeable number, because it can be changed into a prime (3850727047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3057931 + ... + 3059189.

Almost surely, 23850727040 is an apocalyptic number.

3850727040 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 3850727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997914000).

3850727040 is an abundant number, since it is smaller than the sum of its proper divisors (10145100960).

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

3850727040 is a wasteful number, since it uses less digits than its factorization.

3850727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3850727040 is about 62054.2266086686. The cubic root of 3850727040 is about 1567.4038584837.

The spelling of 3850727040 in words is "three billion, eight hundred fifty million, seven hundred twenty-seven thousand, forty".