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426606640 = 245411131151
BaseRepresentation
bin11001011011011…
…000000000110000
31002201201212021221
4121123120000300
51333202403030
6110155354424
713400045065
oct3133300060
91081655257
10426606640
111a9898979
12baa52a14
136a4c8b85
144092cc6c
15276bbe7a
hex196d8030

426606640 has 80 divisors (see below), whose sum is σ = 1025934336. Its totient is φ = 164864000.

The previous prime is 426606623. The next prime is 426606641. The reversal of 426606640 is 46606624.

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

It is a junction number, because it is equal to n+sod(n) for n = 426606596 and 426606605.

It is not an unprimeable number, because it can be changed into a prime (426606641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370065 + ... + 371215.

Almost surely, 2426606640 is an apocalyptic number.

426606640 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 426606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512967168).

426606640 is an abundant number, since it is smaller than the sum of its proper divisors (599327696).

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

426606640 is a wasteful number, since it uses less digits than its factorization.

426606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 426606640 is about 20654.4581144120. The cubic root of 426606640 is about 752.7935169140.

The spelling of 426606640 in words is "four hundred twenty-six million, six hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 113 164 205 226 328 410 452 565 656 820 904 1130 1151 1640 1808 2260 2302 3280 4520 4604 4633 5755 9040 9208 9266 11510 18416 18532 23020 23165 37064 46040 46330 47191 74128 92080 92660 94382 130063 185320 188764 235955 260126 370640 377528 471910 520252 650315 755056 943820 1040504 1300630 1887640 2081008 2601260 3775280 5202520 5332583 10405040 10665166 21330332 26662915 42660664 53325830 85321328 106651660 213303320 426606640