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426974080 = 27513193773
BaseRepresentation
bin11001011100110…
…001101110000000
31002202102112022211
4121130301232000
51333301132310
6110211311504
713403135251
oct3134615600
91082375284
10426974080
111aa019a45
12babab594
136a5c71b0
14409c6b28
1527740c8a
hex19731b80

426974080 has 256 divisors, whose sum is σ = 1204660800. Its totient is φ = 143327232.

The previous prime is 426974071. The next prime is 426974087. The reversal of 426974080 is 80479624.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426974087) 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 31 ways as a sum of consecutive naturals, for example, 5848924 + ... + 5848996.

Almost surely, 2426974080 is an apocalyptic number.

426974080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602330400).

426974080 is an abundant number, since it is smaller than the sum of its proper divisors (777686720).

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

426974080 is a wasteful number, since it uses less digits than its factorization.

426974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 426974080 is about 20663.3511318953. The cubic root of 426974080 is about 753.0095840880.

The spelling of 426974080 in words is "four hundred twenty-six million, nine hundred seventy-four thousand, eighty".