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295424 = 29577
BaseRepresentation
bin1001000001000000000
3120000020122
41020020000
533423144
610155412
72340203
oct1101000
9500218
10295424
11191a58
12122b68
13a460c
147993a
155c7ee
hex48200

295424 has 20 divisors (see below), whose sum is σ = 591294. Its totient is φ = 147456.

The previous prime is 295417. The next prime is 295429. The reversal of 295424 is 424592.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 135424 = 400^2 + 368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 295393 and 295402.

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 295424.

It is not an unprimeable number, because it can be changed into a prime (295429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 224 + ... + 800.

295424 is a Friedman number, since it can be written as 544^2-2^9, using all its digits and the basic arithmetic operations.

2295424 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 295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295647).

295424 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

295424 is an frugal number, since it uses more digits than its factorization.

295424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 579 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 295424 is about 543.5292080468. The cubic root of 295424 is about 66.6011801382.

The spelling of 295424 in words is "two hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 577 1154 2308 4616 9232 18464 36928 73856 147712 295424