Search a number
-
+
8266832 = 247312381
BaseRepresentation
bin11111100010010001010000
3120112222221222
4133202101100
54104014312
6453104212
7130160360
oct37422120
916488858
108266832
114736aa2
122928068
131935a22
1411529a0
15ad4672
hex7e2450

8266832 has 40 divisors (see below), whose sum is σ = 18903552. Its totient is φ = 3427200.

The previous prime is 8266829. The next prime is 8266837. The reversal of 8266832 is 2386628.

It is a super-2 number, since 2×82668322 = 136681022632448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8266792 and 8266801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8266837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2282 + ... + 4662.

Almost surely, 28266832 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 8266832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9451776).

8266832 is an abundant number, since it is smaller than the sum of its proper divisors (10636720).

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

8266832 is a wasteful number, since it uses less digits than its factorization.

8266832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2421 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 8266832 is about 2875.2099053808. The cubic root of 8266832 is about 202.1993261702.

The spelling of 8266832 in words is "eight million, two hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 2381 3472 4762 9524 16667 19048 33334 38096 66668 73811 133336 147622 266672 295244 516677 590488 1033354 1180976 2066708 4133416 8266832