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426511360 = 2105117573
BaseRepresentation
bin11001011011000…
…000110000000000
31002201120000121001
4121123000300000
51333141330420
6110153341344
713366200232
oct3133006000
91081500531
10426511360
111a9833330
12baa07854
136a4946b2
1440906252
152769db0a
hex196c0c00

426511360 has 88 divisors (see below), whose sum is σ = 1116286416. Its totient is φ = 155074560.

The previous prime is 426511357. The next prime is 426511369. The reversal of 426511360 is 63115624.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (426511369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52534 + ... + 60106.

Almost surely, 2426511360 is an apocalyptic number.

426511360 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 426511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558143208).

426511360 is an abundant number, since it is smaller than the sum of its proper divisors (689775056).

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

426511360 is a wasteful number, since it uses less digits than its factorization.

426511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 426511360 is about 20652.1514617727. The cubic root of 426511360 is about 752.7374687891.

Adding to 426511360 its reverse (63115624), we get a palindrome (489626984).

It can be divided in two parts, 4265 and 11360, that added together give a 6-th power (15625 = 56).

The spelling of 426511360 in words is "four hundred twenty-six million, five hundred eleven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 7573 11264 14080 15146 28160 30292 37865 56320 60584 75730 83303 121168 151460 166606 242336 302920 333212 416515 484672 605840 666424 833030 969344 1211680 1332848 1666060 1938688 2423360 2665696 3332120 3877376 4846720 5331392 6664240 7754752 9693440 10662784 13328480 19386880 21325568 26656960 38773760 42651136 53313920 85302272 106627840 213255680 426511360