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426018144 = 25323613163
BaseRepresentation
bin11001011001001…
…000010101100000
31002200121222000210
4121121020111200
51333030040034
6110135014120
713362044256
oct3131102540
91080558023
10426018144
111a9526812
12ba80a340
136a351056
14408185d6
15276028e9
hex19648560

426018144 has 96 divisors (see below), whose sum is σ = 1186424064. Its totient is φ = 133562880.

The previous prime is 426018143. The next prime is 426018161. The reversal of 426018144 is 441810624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426018143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133107 + ... + 136269.

It is an arithmetic number, because the mean of its divisors is an integer number (12358584).

Almost surely, 2426018144 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 426018144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593212032).

426018144 is an abundant number, since it is smaller than the sum of its proper divisors (760405920).

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

426018144 is a wasteful number, since it uses less digits than its factorization.

426018144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 426018144 is about 20640.2069757064. The cubic root of 426018144 is about 752.4472026915.

Adding to 426018144 its reverse (441810624), we get a palindrome (867828768).

The spelling of 426018144 in words is "four hundred twenty-six million, eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 69 92 96 122 138 183 184 244 276 366 368 488 552 732 736 976 1104 1403 1464 1952 2208 2806 2928 3163 4209 5612 5856 6326 8418 9489 11224 12652 16836 18978 22448 25304 33672 37956 44896 50608 67344 72749 75912 101216 134688 145498 151824 192943 218247 290996 303648 385886 436494 578829 581992 771772 872988 1157658 1163984 1543544 1745976 2315316 2327968 3087088 3491952 4437689 4630632 6174176 6983904 8875378 9261264 13313067 17750756 18522528 26626134 35501512 53252268 71003024 106504536 142006048 213009072 426018144