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426042064 = 24722323627
BaseRepresentation
bin11001011001001…
…110001011010000
31002200200011211201
4121121032023100
51333031321224
6110135320544
713362204100
oct3131161320
91080604751
10426042064
111a9542788
12ba820154
136a35bbc6
1440823200
1527609a44
hex1964e2d0

426042064 has 60 divisors (see below), whose sum is σ = 1002016224. Its totient is φ = 174643392.

The previous prime is 426042061. The next prime is 426042101. The reversal of 426042064 is 460240624.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426042061) 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, 6219 + ... + 29845.

Almost surely, 2426042064 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 426042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501008112).

426042064 is an abundant number, since it is smaller than the sum of its proper divisors (575974160).

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

426042064 is a wasteful number, since it uses less digits than its factorization.

426042064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23672 (or 23659 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 426042064 is about 20640.7864191266. The cubic root of 426042064 is about 752.4612851905.

Adding to 426042064 its reverse (460240624), we get a palindrome (886282688).

The spelling of 426042064 in words is "four hundred twenty-six million, forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2576 4508 9016 18032 23627 47254 94508 165389 189016 330778 378032 543421 661556 1086842 1157723 1323112 2173684 2315446 2646224 3803947 4347368 4630892 7607894 8694736 9261784 15215788 18523568 26627629 30431576 53255258 60863152 106510516 213021032 426042064