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424833444 = 223371134973
BaseRepresentation
bin11001010100100…
…111000110100100
31002121101202221000
4121110213012210
51332224132234
6110053353300
713346011320
oct3124470644
91077352830
10424833444
111a8897722
12ba338830
136a027a49
14405ca980
152746b899
hex195271a4

424833444 has 96 divisors (see below), whose sum is σ = 1270160640. Its totient is φ = 120282624.

The previous prime is 424833443. The next prime is 424833457. The reversal of 424833444 is 444338424.

It is a super-2 number, since 2×4248334442 = 360966910281802272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 424833399 and 424833408.

It is not an unprimeable number, because it can be changed into a prime (424833443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82942 + ... + 87914.

It is an arithmetic number, because the mean of its divisors is an integer number (13230840).

Almost surely, 2424833444 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 424833444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635080320).

424833444 is an abundant number, since it is smaller than the sum of its proper divisors (845327196).

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

424833444 is a wasteful number, since it uses less digits than its factorization.

424833444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5098 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 424833444 is about 20611.4881558804. The cubic root of 424833444 is about 751.7490698354.

The spelling of 424833444 in words is "four hundred twenty-four million, eight hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 452 678 756 791 1017 1356 1582 2034 2373 3051 3164 4068 4746 4973 6102 7119 9492 9946 12204 14238 14919 19892 21357 28476 29838 34811 42714 44757 59676 69622 85428 89514 104433 134271 139244 179028 208866 268542 313299 417732 537084 561949 626598 939897 1123898 1253196 1685847 1879794 2247796 3371694 3759588 3933643 5057541 6743388 7867286 10115082 11800929 15172623 15734572 20230164 23601858 30345246 35402787 47203716 60690492 70805574 106208361 141611148 212416722 424833444