Search a number
-
+
1049814168 = 233137346093
BaseRepresentation
bin111110100100101…
…110010010011000
32201011102002022020
4332210232102120
54122223023133
6252101054440
735005162464
oct7644562230
92634362266
101049814168
11499657a17
122536b7420
1313965bb20
149d5d74a4
15622710b3
hex3e92e498

1049814168 has 64 divisors (see below), whose sum is σ = 2865203040. Its totient is φ = 318587904.

The previous prime is 1049814167. The next prime is 1049814187. The reversal of 1049814168 is 8614189401.

It is a happy number.

1049814168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10498141682 = 2204219574667064448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049814167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271 + ... + 45822.

Almost surely, 21049814168 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 1049814168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432601520).

1049814168 is an abundant number, since it is smaller than the sum of its proper divisors (1815388872).

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

1049814168 is a wasteful number, since it uses less digits than its factorization.

1049814168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46188 (or 46184 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1049814168 is about 32400.8359151427. The cubic root of 1049814168 is about 1016.3363917000.

The spelling of 1049814168 in words is "one billion, forty-nine million, eight hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3796 5694 7592 11388 22776 46093 92186 138279 184372 276558 368744 553116 599209 1106232 1198418 1797627 2396836 3364789 3595254 4793672 6729578 7190508 10094367 13459156 14381016 20188734 26918312 40377468 43742257 80754936 87484514 131226771 174969028 262453542 349938056 524907084 1049814168