Search a number
-
+
868048896 = 21331113219
BaseRepresentation
bin110011101111010…
…110000000000000
32020111101110020010
4303233112000000
53234210031041
6222045144520
730340202541
oct6357260000
92214343203
10868048896
11405a99a90
1220285b140
1310aaba600
14834004c8
1551319a16
hex33bd6000

868048896 has 336 divisors, whose sum is σ = 2878165440. Its totient is φ = 230031360.

The previous prime is 868048891. The next prime is 868048903. The reversal of 868048896 is 698840868.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868048891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45686775 + ... + 45686793.

Almost surely, 2868048896 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 868048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439082720).

868048896 is an abundant number, since it is smaller than the sum of its proper divisors (2010116544).

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

868048896 is a wasteful number, since it uses less digits than its factorization.

868048896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The square root of 868048896 is about 29462.6695328173. The cubic root of 868048896 is about 953.9260960027.

The spelling of 868048896 in words is "eight hundred sixty-eight million, forty-eight thousand, eight hundred ninety-six".