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426116032 = 26231372113
BaseRepresentation
bin11001011001100…
…000001111000000
31002200210221022021
4121121200033000
51333041203112
6110141051224
713362632536
oct3131401700
91080727267
10426116032
111a9593311
12ba856b14
136a386784
1440842156
1527621907
hex196603c0

426116032 has 56 divisors (see below), whose sum is σ = 889199136. Its totient is φ = 202211328.

The previous prime is 426116029. The next prime is 426116039. The reversal of 426116032 is 230611624.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 426115988 and 426116006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426116039) 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 7 ways as a sum of consecutive naturals, for example, 200608 + ... + 202720.

It is an arithmetic number, because the mean of its divisors is an integer number (15878556).

Almost surely, 2426116032 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 426116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444599568).

426116032 is an abundant number, since it is smaller than the sum of its proper divisors (463083104).

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

426116032 is a wasteful number, since it uses less digits than its factorization.

426116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 426116032 is about 20642.5781335569. The cubic root of 426116032 is about 752.5048292755.

Adding to 426116032 its reverse (230611624), we get a palindrome (656727656).

The spelling of 426116032 in words is "four hundred twenty-six million, one hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 137 184 274 368 548 736 1096 1472 2113 2192 3151 4226 4384 6302 8452 8768 12604 16904 25208 33808 48599 50416 67616 97198 100832 135232 194396 201664 289481 388792 578962 777584 1157924 1555168 2315848 3110336 4631696 6658063 9263392 13316126 18526784 26632252 53264504 106529008 213058016 426116032