Search a number
-
+
887376 = 243719139
BaseRepresentation
bin11011000101001010000
31200002020210
43120221100
5211344001
631004120
710354050
oct3305120
91602223
10887376
11556776
12369640
13250b99
14191560
15127dd6
hexd8a50

887376 has 80 divisors (see below), whose sum is σ = 2777600. Its totient is φ = 238464.

The previous prime is 887333. The next prime is 887377. The reversal of 887376 is 673788.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (887377) by changing a digit.

887376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6315 + ... + 6453.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

2887376 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 887376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388800).

887376 is an abundant number, since it is smaller than the sum of its proper divisors (1890224).

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

887376 is a wasteful number, since it uses less digits than its factorization.

887376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 887376 is about 942.0063694052. The cubic root of 887376 is about 96.0953912933.

The spelling of 887376 in words is "eight hundred eighty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 139 152 168 228 266 278 304 336 399 417 456 532 556 798 834 912 973 1064 1112 1596 1668 1946 2128 2224 2641 2919 3192 3336 3892 5282 5838 6384 6672 7784 7923 10564 11676 15568 15846 18487 21128 23352 31692 36974 42256 46704 55461 63384 73948 110922 126768 147896 221844 295792 443688 887376