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426767796 = 2232713177997
BaseRepresentation
bin11001011011111…
…111010110110100
31002202001001100200
4121123333112310
51333223032141
6110203040500
713401315660
oct3133772664
91082031320
10426767796
111a9998a64
12bab10130
136a554330
14409718a0
15276eeab6
hex196ff5b4

426767796 has 288 divisors, whose sum is σ = 1438295040. Its totient is φ = 103514112.

The previous prime is 426767777. The next prime is 426767807. The reversal of 426767796 is 697767624.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4399620 + ... + 4399716.

It is an arithmetic number, because the mean of its divisors is an integer number (4994080).

Almost surely, 2426767796 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 426767796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719147520).

426767796 is an abundant number, since it is smaller than the sum of its proper divisors (1011527244).

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

426767796 is a wasteful number, since it uses less digits than its factorization.

426767796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 218 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 426767796 is about 20658.3589861344. The cubic root of 426767796 is about 752.8882973726. Note that the first 3 decimals are identical.

The spelling of 426767796 in words is "four hundred twenty-six million, seven hundred sixty-seven thousand, seven hundred ninety-six".