Search a number
-
+
882816 = 27311219
BaseRepresentation
bin11010111100010000000
31122211222220
43113202000
5211222231
630531040
710334544
oct3274200
91584886
10882816
11553300
12366a80
1324ba9c
1418da24
15126896
hexd7880

882816 has 96 divisors (see below), whose sum is σ = 2713200. Its totient is φ = 253440.

The previous prime is 882779. The next prime is 882823. The reversal of 882816 is 618288.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46455 + ... + 46473.

2882816 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 882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356600).

882816 is an abundant number, since it is smaller than the sum of its proper divisors (1830384).

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

882816 is a wasteful number, since it uses less digits than its factorization.

882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 882816 is about 939.5828861788. The cubic root of 882816 is about 95.9305052602.

The spelling of 882816 in words is "eight hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 121 128 132 152 176 192 209 228 242 264 304 352 363 384 418 456 484 528 608 627 704 726 836 912 968 1056 1216 1254 1408 1452 1672 1824 1936 2112 2299 2432 2508 2904 3344 3648 3872 4224 4598 5016 5808 6688 6897 7296 7744 9196 10032 11616 13376 13794 15488 18392 20064 23232 26752 27588 36784 40128 46464 55176 73568 80256 110352 147136 220704 294272 441408 882816