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426165840 = 24335197299
BaseRepresentation
bin11001011001101…
…100011001010000
31002200220110122000
4121121230121100
51333044301330
6110142114000
713363231002
oct3131543120
91080813560
10426165840
111a9617781
12ba87b900
136a3a3349
1440856372
1527631560
hex1966c650

426165840 has 80 divisors (see below), whose sum is σ = 1467912000. Its totient is φ = 113643648.

The previous prime is 426165823. The next prime is 426165841. The reversal of 426165840 is 48561624.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 426165795 and 426165804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426165841) 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 15 ways as a sum of consecutive naturals, for example, 96490 + ... + 100809.

It is an arithmetic number, because the mean of its divisors is an integer number (18348900).

Almost surely, 2426165840 is an apocalyptic number.

426165840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426165840 is an abundant number, since it is smaller than the sum of its proper divisors (1041746160).

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

426165840 is a wasteful number, since it uses less digits than its factorization.

426165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197321 (or 197309 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 426165840 is about 20643.7845367559. The cubic root of 426165840 is about 752.5341478159.

The spelling of 426165840 in words is "four hundred twenty-six million, one hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 197299 394598 591897 789196 986495 1183794 1578392 1775691 1972990 2367588 2959485 3156784 3551382 3945980 4735176 5327073 5918970 7102764 7891960 8878455 9470352 10654146 11837940 14205528 15783920 17756910 21308292 23675880 26635365 28411056 35513820 42616584 47351760 53270730 71027640 85233168 106541460 142055280 213082920 426165840