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426514000 = 24531119387
BaseRepresentation
bin11001011011000…
…001011001010000
31002201120011012211
4121123001121100
51333141422000
6110153401504
713366211023
oct3133013120
91081504184
10426514000
111a9835310
12baa09294
136a495963
14409071ba
152769e7ba
hex196c1650

426514000 has 80 divisors (see below), whose sum is σ = 1125124416. Its totient is φ = 155088000.

The previous prime is 426513953. The next prime is 426514007. The reversal of 426514000 is 415624.

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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426514007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12307 + ... + 31693.

Almost surely, 2426514000 is an apocalyptic number.

426514000 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 426514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562562208).

426514000 is an abundant number, since it is smaller than the sum of its proper divisors (698610416).

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

426514000 is a wasteful number, since it uses less digits than its factorization.

426514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19421 (or 19405 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 426514000 is about 20652.2153775327. The cubic root of 426514000 is about 752.7390218722.

Adding to 426514000 its reverse (415624), we get a palindrome (426929624).

The spelling of 426514000 in words is "four hundred twenty-six million, five hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 19387 22000 38774 77548 96935 155096 193870 213257 310192 387740 426514 484675 775480 853028 969350 1066285 1550960 1706056 1938700 2132570 2423375 3412112 3877400 4265140 4846750 5331425 7754800 8530280 9693500 10662850 17060560 19387000 21325700 26657125 38774000 42651400 53314250 85302800 106628500 213257000 426514000