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506396 = 221117677
BaseRepresentation
bin1111011101000011100
3221201122102
41323220130
5112201041
614504232
74206242
oct1735034
9851572
10506396
11316510
12205078
13149657
14d2792
15a009b
hex7ba1c

506396 has 24 divisors (see below), whose sum is σ = 1025136. Its totient is φ = 216320.

The previous prime is 506393. The next prime is 506417. The reversal of 506396 is 693605.

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 506396.

It is not an unprimeable number, because it can be changed into a prime (506393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (42714).

2506396 is an apocalyptic number.

It is an amenable number.

506396 is an abundant number, since it is smaller than the sum of its proper divisors (518740).

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

506396 is a wasteful number, since it uses less digits than its factorization.

506396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 506396 is about 711.6150644836. The cubic root of 506396 is about 79.7070535894.

It can be divided in two parts, 50 and 6396, that added together give a palindrome (6446).

The spelling of 506396 in words is "five hundred six thousand, three hundred ninety-six".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 677 748 1354 2708 7447 11509 14894 23018 29788 46036 126599 253198 506396