Search a number
-
+
885249216 = 26331959457
BaseRepresentation
bin110100110000111…
…101010011000000
32021200202022122000
4310300331103000
53303110433331
6223501544000
730636331335
oct6460752300
92250668560
10885249216
11414777925
12208575000
13111530607
14857da98c
1552ab60e6
hex34c3d4c0

885249216 has 224 divisors, whose sum is σ = 2791968000. Its totient is φ = 274212864.

The previous prime is 885249179. The next prime is 885249217. The reversal of 885249216 is 612942588.

It is a super-2 number, since 2×8852492162 = 1567332348857229312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (276480) is a multiple of the sum of its prime divisors (540).

It is not an unprimeable number, because it can be changed into a prime (885249217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1936860 + ... + 1937316.

Almost surely, 2885249216 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 885249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395984000).

885249216 is an abundant number, since it is smaller than the sum of its proper divisors (1906718784).

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

885249216 is a wasteful number, since it uses less digits than its factorization.

885249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 885249216 is about 29753.1379185457. The cubic root of 885249216 is about 960.1855891192.

The spelling of 885249216 in words is "eight hundred eighty-five million, two hundred forty-nine thousand, two hundred sixteen".