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426338112 = 2631926151
BaseRepresentation
bin11001011010010…
…110011101000000
31002201020012221110
4121122112131000
51333120304422
6110145523320
713364546154
oct3132263500
91081205843
10426338112
111a9725152
12ba943540
136a433895
144089d064
152766760c
hex19696740

426338112 has 84 divisors (see below), whose sum is σ = 1190707296. Its totient is φ = 134611200.

The previous prime is 426338027. The next prime is 426338117. The reversal of 426338112 is 211833624.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 426338112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426338117) 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 11 ways as a sum of consecutive naturals, for example, 66237 + ... + 72387.

Almost surely, 2426338112 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 426338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595353648).

426338112 is an abundant number, since it is smaller than the sum of its proper divisors (764369184).

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

426338112 is a wasteful number, since it uses less digits than its factorization.

426338112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6175 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 426338112 is about 20647.9566059211. The cubic root of 426338112 is about 752.6355348707.

The spelling of 426338112 in words is "four hundred twenty-six million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 361 456 608 722 912 1083 1216 1444 1824 2166 2888 3648 4332 5776 6151 8664 11552 12302 17328 18453 23104 24604 34656 36906 49208 69312 73812 98416 116869 147624 196832 233738 295248 350607 393664 467476 590496 701214 934952 1180992 1402428 1869904 2220511 2804856 3739808 4441022 5609712 6661533 7479616 8882044 11219424 13323066 17764088 22438848 26646132 35528176 53292264 71056352 106584528 142112704 213169056 426338112