Search a number
-
+
3855223768 = 2311419831087
BaseRepresentation
bin1110010111001010…
…0000101111011000
3100221200021122210111
43211302200233120
530343414130033
61434314454104
7164351601304
oct34562405730
910850248714
103855223768
1116a919a750
128b7134334
134959313c6
14288028d04
151786c87cd
hexe5ca0bd8

3855223768 has 64 divisors (see below), whose sum is σ = 8093675520. Its totient is φ = 1706323200.

The previous prime is 3855223661. The next prime is 3855223787. The reversal of 3855223768 is 8673225583.

3855223768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3546121 + ... + 3547207.

It is an arithmetic number, because the mean of its divisors is an integer number (126463680).

Almost surely, 23855223768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3855223768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046837760).

3855223768 is an abundant number, since it is smaller than the sum of its proper divisors (4238451752).

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

3855223768 is a wasteful number, since it uses less digits than its factorization.

3855223768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2124 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

The square root of 3855223768 is about 62090.4482831297. The cubic root of 3855223768 is about 1568.0137387298.

The spelling of 3855223768 in words is "three billion, eight hundred fifty-five million, two hundred twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 983 1087 1804 1966 2174 3608 3932 4348 7864 8696 10813 11957 21626 23914 40303 43252 44567 47828 80606 86504 89134 95656 161212 178268 322424 356536 443333 490237 886666 980474 1068521 1773332 1960948 2137042 3546664 3921896 4274084 8548168 11753731 23507462 43809361 47014924 87618722 94029848 175237444 350474888 481902971 963805942 1927611884 3855223768