Search a number
-
+
869730048 = 2835113141
BaseRepresentation
bin110011110101110…
…000011100000000
32020121112212100000
4303311300130000
53240122330143
6222145200000
730360404055
oct6365603400
92217485300
10869730048
11406a38070
12203330000
1310b258885
148371b02c
155154cbd3
hex33d70700

869730048 has 432 divisors, whose sum is σ = 2999872512. Its totient is φ = 248832000.

The previous prime is 869730023. The next prime is 869730077. The reversal of 869730048 is 840037968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 869729985 and 869730012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21212908 + ... + 21212948.

Almost surely, 2869730048 is an apocalyptic number.

869730048 is a gapful number since it is divisible by the number (88) 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 869730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499936256).

869730048 is an abundant number, since it is smaller than the sum of its proper divisors (2130142464).

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

869730048 is a wasteful number, since it uses less digits than its factorization.

869730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 869730048 is about 29491.1859374966. The cubic root of 869730048 is about 954.5415223883.

The spelling of 869730048 in words is "eight hundred sixty-nine million, seven hundred thirty thousand, forty-eight".