Search a number
-
+
426668440 = 235111019601
BaseRepresentation
bin11001011011100…
…111000110011000
31002201212000001211
4121123213012120
51333211342230
6110200552504
713400423212
oct3133470630
91081760054
10426668440
111a9930350
12baa82734
136a51b043
14409475b2
15276d042a
hex196e7198

426668440 has 64 divisors (see below), whose sum is σ = 1057756320. Its totient is φ = 153600000.

The previous prime is 426668413. The next prime is 426668477. The reversal of 426668440 is 44866624.

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

It is a junction number, because it is equal to n+sod(n) for n = 426668393 and 426668402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39640 + ... + 49240.

Almost surely, 2426668440 is an apocalyptic number.

426668440 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 426668440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528878160).

426668440 is an abundant number, since it is smaller than the sum of its proper divisors (631087880).

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

426668440 is a wasteful number, since it uses less digits than its factorization.

426668440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 426668440 is about 20655.9541052937. The cubic root of 426668440 is about 752.8298660850.

It can be divided in two parts, 426 and 668440, that added together give a palindrome (668866).

The spelling of 426668440 in words is "four hundred twenty-six million, six hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 9601 11110 19202 22220 38404 44440 48005 76808 96010 105611 192020 211222 384040 422444 528055 844888 969701 1056110 1939402 2112220 3878804 4224440 4848505 7757608 9697010 10666711 19394020 21333422 38788040 42666844 53333555 85333688 106667110 213334220 426668440