Search a number
-
+
527696 = 24134359
BaseRepresentation
bin10000000110101010000
3222210212022
42000311100
5113341241
615151012
74325321
oct2006520
9883768
10527696
11330514
12215468
13156260
14da448
15a654b
hex80d50

527696 has 40 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 233856.

The previous prime is 527671. The next prime is 527699. The reversal of 527696 is 696725.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 527696.

It is not an unprimeable number, because it can be changed into a prime (527699) by changing a digit.

527696 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 7 ways as a sum of consecutive naturals, for example, 8915 + ... + 8973.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2527696 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 527696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

527696 is an abundant number, since it is smaller than the sum of its proper divisors (618064).

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

527696 is a wasteful number, since it uses less digits than its factorization.

527696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 22680, while the sum is 35.

The square root of 527696 is about 726.4268717497. The cubic root of 527696 is about 80.8092856041.

The spelling of 527696 in words is "five hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 43 52 59 86 104 118 172 208 236 344 472 559 688 767 944 1118 1534 2236 2537 3068 4472 5074 6136 8944 10148 12272 20296 32981 40592 65962 131924 263848 527696