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4204024 = 2311243101
BaseRepresentation
bin10000000010010111111000
321220120211121
4100002113320
52034012044
6230035024
750506426
oct20022770
97816747
104204024
112411600
1214a8a74
13b426b6
147b6116
15580984
hex4025f8

4204024 has 48 divisors (see below), whose sum is σ = 8953560. Its totient is φ = 1848000.

The previous prime is 4204007. The next prime is 4204027.

4204024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4203989 and 4204007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41574 + ... + 41674.

Almost surely, 24204024 is an apocalyptic number.

4204024 is a gapful number since it is divisible by the number (44) 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 4204024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476780).

4204024 is an abundant number, since it is smaller than the sum of its proper divisors (4749536).

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

4204024 is a wasteful number, since it uses less digits than its factorization.

4204024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4204024 is about 2050.3716736241. The cubic root of 4204024 is about 161.3943754320.

It can be divided in two parts, 420 and 4024, that added together give a palindrome (4444).

The spelling of 4204024 in words is "four million, two hundred four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 101 121 172 202 242 344 404 473 484 808 946 968 1111 1892 2222 3784 4343 4444 5203 8686 8888 10406 12221 17372 20812 24442 34744 41624 47773 48884 95546 97768 191092 382184 525503 1051006 2102012 4204024