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426592080 = 24325592489
BaseRepresentation
bin11001011011010…
…100011101010000
31002201201010022200
4121123110131100
51333201421310
6110155203200
713366654455
oct3133243520
91081633280
10426592080
111a9888a42
12baa46500
136a4c2365
144092782c
15276b79c0
hex196d4750

426592080 has 60 divisors (see below), whose sum is σ = 1432640820. Its totient is φ = 113757696.

The previous prime is 426592051. The next prime is 426592081. The reversal of 426592080 is 80295624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 191767104 + 234824976 = 13848^2 + 15324^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426592081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295525 + ... + 296964.

It is an arithmetic number, because the mean of its divisors is an integer number (23877347).

Almost surely, 2426592080 is an apocalyptic number.

426592080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426592080 is an abundant number, since it is smaller than the sum of its proper divisors (1006048740).

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

426592080 is a wasteful number, since it uses less digits than its factorization.

426592080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592508 (or 592499 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 426592080 is about 20654.1056451254. The cubic root of 426592080 is about 752.7849525855.

The spelling of 426592080 in words is "four hundred twenty-six million, five hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 592489 1184978 1777467 2369956 2962445 3554934 4739912 5332401 5924890 7109868 8887335 9479824 10664802 11849780 14219736 17774670 21329604 23699560 26662005 28439472 35549340 42659208 47399120 53324010 71098680 85318416 106648020 142197360 213296040 426592080