Search a number
-
+
850049088 = 263723107257
BaseRepresentation
bin110010101010101…
…011100001000000
32012020111222010120
4302222223201000
53220103032323
6220203300240
730031204140
oct6252534100
92166458116
10850049088
113a6915509
121b881a680
13107157735
1480c76920
154e9615e3
hex32aab840

850049088 has 224 divisors, whose sum is σ = 2717743104. Its totient is φ = 229244928.

The previous prime is 850049077. The next prime is 850049093. The reversal of 850049088 is 880940058.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3307456 + ... + 3307712.

Almost surely, 2850049088 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 850049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358871552).

850049088 is an abundant number, since it is smaller than the sum of its proper divisors (1867694016).

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

850049088 is a wasteful number, since it uses less digits than its factorization.

850049088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 850049088 is about 29155.6013143272. The cubic root of 850049088 is about 947.2864719342.

The spelling of 850049088 in words is "eight hundred fifty million, forty-nine thousand, eighty-eight".