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404248 = 2313323
BaseRepresentation
bin1100010101100011000
3202112112011
41202230120
5100413443
612355304
73302365
oct1425430
9675464
10404248
11256799
12175b34
13112000
14a746c
157eb9d
hex62b18

404248 has 32 divisors (see below), whose sum is σ = 856800. Its totient is φ = 178464.

The previous prime is 404221. The next prime is 404249. The reversal of 404248 is 842404.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404249) by changing a digit.

404248 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, 17565 + ... + 17587.

It is an arithmetic number, because the mean of its divisors is an integer number (26775).

2404248 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 404248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428400).

404248 is an abundant number, since it is smaller than the sum of its proper divisors (452552).

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

404248 is a wasteful number, since it uses less digits than its factorization.

404248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 404248 is about 635.8050015531. The cubic root of 404248 is about 73.9405414761.

The spelling of 404248 in words is "four hundred four thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 169 184 299 338 598 676 1196 1352 2197 2392 3887 4394 7774 8788 15548 17576 31096 50531 101062 202124 404248