Search a number
-
+
8382648 = 2331931593
BaseRepresentation
bin11111111110100010111000
3120202212211110
4133332202320
54121221043
6455400320
7131152131
oct37764270
916685743
108382648
11480600a
1229830a0
131976661
141182c88
15b08b33
hex7fe8b8

8382648 has 64 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 2557440.

The previous prime is 8382637. The next prime is 8382707. The reversal of 8382648 is 8462838.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13840 + ... + 14432.

It is an arithmetic number, because the mean of its divisors is an integer number (356400).

Almost surely, 28382648 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 8382648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

8382648 is an abundant number, since it is smaller than the sum of its proper divisors (14426952).

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

8382648 is a wasteful number, since it uses less digits than its factorization.

8382648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 8382648 is about 2895.2802973115. The cubic root of 8382648 is about 203.1392025730.

It can be divided in two parts, 838 and 2648, that added together give a triangular number (3486 = T83).

The spelling of 8382648 in words is "eight million, three hundred eighty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 593 744 1178 1186 1767 1779 2356 2372 3534 3558 4712 4744 7068 7116 11267 14136 14232 18383 22534 33801 36766 45068 55149 67602 73532 90136 110298 135204 147064 220596 270408 349277 441192 698554 1047831 1397108 2095662 2794216 4191324 8382648