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4198248 = 233258309
BaseRepresentation
bin10000000000111101101000
321220021220200
4100000331220
52033320443
6225552200
750453535
oct20007550
97807820
104198248
11240822a
1214a5660
13b3cb92
147b3d8c
1557ddd3
hex400f68

4198248 has 24 divisors (see below), whose sum is σ = 11370450. Its totient is φ = 1399392.

The previous prime is 4198247. The next prime is 4198261. The reversal of 4198248 is 8428914.

It can be written as a sum of positive squares in only one way, i.e., 3617604 + 580644 = 1902^2 + 762^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (4198247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29083 + ... + 29226.

Almost surely, 24198248 is an apocalyptic number.

It is an amenable number.

4198248 is an abundant number, since it is smaller than the sum of its proper divisors (7172202).

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

4198248 is a wasteful number, since it uses less digits than its factorization.

4198248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58321 (or 58314 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4198248 is about 2048.9626643743. The cubic root of 4198248 is about 161.3204271411.

It can be divided in two parts, 41 and 98248, that added together give a palindrome (98289).

The spelling of 4198248 in words is "four million, one hundred ninety-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 58309 116618 174927 233236 349854 466472 524781 699708 1049562 1399416 2099124 4198248