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4204444024 = 2311432394649
BaseRepresentation
bin1111101010011010…
…1011100101111000
3101212000101212221001
43322212223211320
532102314202044
61533111454344
7206122120204
oct37246534570
911760355831
104204444024
111868332030
129940873b4
135200a3701
142bc571b04
151991ab2d4
hexfa9ab978

4204444024 has 64 divisors (see below), whose sum is σ = 8838720000. Its totient is φ = 1858456320.

The previous prime is 4204444021. The next prime is 4204444031.

4204444024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4204443983 and 4204444001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204444021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902052 + ... + 906700.

It is an arithmetic number, because the mean of its divisors is an integer number (138105000).

Almost surely, 24204444024 is an apocalyptic number.

4204444024 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 4204444024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360000).

4204444024 is an abundant number, since it is smaller than the sum of its proper divisors (4634275976).

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

4204444024 is a wasteful number, since it uses less digits than its factorization.

4204444024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4204444024 is about 64841.6843087840. The cubic root of 4204444024 is about 1613.9975022316.

It can be divided in two parts, 42044 and 44024, that added together give a palindrome (86068).

The spelling of 4204444024 in words is "four billion, two hundred four million, four hundred forty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 239 344 473 478 946 956 1892 1912 2629 3784 4649 5258 9298 10277 10516 18596 20554 21032 37192 41108 51139 82216 102278 113047 199907 204556 226094 399814 409112 452188 799628 904376 1111111 1599256 2198977 2222222 4397954 4444444 8795908 8888888 12222221 17591816 24444442 47777773 48888884 95555546 97777768 191111092 382222184 525555503 1051111006 2102222012 4204444024