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4248000 = 26325359
BaseRepresentation
bin10000001101000111000000
321222211011100
4100031013000
52041414000
6231014400
751051561
oct20150700
97884140
104248000
112441649
12150a400
13b59713
147c8168
1558da00
hex40d1c0

4248000 has 168 divisors, whose sum is σ = 15453360. Its totient is φ = 1113600.

The previous prime is 4247983. The next prime is 4248017. The reversal of 4248000 is 8424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4247983) and next prime (4248017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71971 + ... + 72029.

Almost surely, 24248000 is an apocalyptic number.

4248000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726680).

4248000 is an abundant number, since it is smaller than the sum of its proper divisors (11205360).

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

4248000 is a wasteful number, since it uses less digits than its factorization.

4248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4248000 is about 2061.0676844781. The cubic root of 4248000 is about 161.9551773571.

It can be divided in two parts, 4 and 248000, that added together give a square (248004 = 4982).

The spelling of 4248000 in words is "four million, two hundred forty-eight thousand".